On the supercyclicity and hypercyclicity of the operator algebra

Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or *-strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or *-supercyclic. In particular our condition...
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Gespeichert in:

Autor*in:	Yousefi, B. [verfasserIn] Rezaei, H. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2008

Schlagwörter:	operator algebra *-strong topology strong operator topology hypercyclicity criterion supercyclicity criterion

Übergeordnetes Werk:	Enthalten in: Acta mathematica sinica - Berlin : Springer, 1985, 24(2008), 7 vom: 11. Juli
Übergeordnetes Werk:	volume:24 ; year:2008 ; number:7 ; day:11 ; month:07

Links:	Volltext

DOI / URN:	10.1007/s10114-007-6601-2

Katalog-ID:	SPR008941505

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520			\|a Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of *-strong operator topology.
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650		4	\|a hypercyclicity criterion \|7 (dpeaa)DE-He213
650		4	\|a supercyclicity criterion \|7 (dpeaa)DE-He213
700	1		\|a Rezaei, H. \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Acta mathematica sinica \|d Berlin : Springer, 1985 \|g 24(2008), 7 vom: 11. Juli \|w (DE-627)312226470 \|w (DE-600)2011055-8 \|x 1439-7617 \|7 nnns
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publishDate	2008
allfields	10.1007/s10114-007-6601-2 doi (DE-627)SPR008941505 (SPR)s10114-007-6601-2-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.00 bkl Yousefi, B. verfasserin aut On the supercyclicity and hypercyclicity of the operator algebra 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of -strong operator topology. operator algebra (dpeaa)DE-He213 -strong topology (dpeaa)DE-He213 strong operator topology (dpeaa)DE-He213 hypercyclicity criterion (dpeaa)DE-He213 supercyclicity criterion (dpeaa)DE-He213 Rezaei, H. verfasserin aut Enthalten in Acta mathematica sinica Berlin : Springer, 1985 24(2008), 7 vom: 11. Juli (DE-627)312226470 (DE-600)2011055-8 1439-7617 nnns volume:24 year:2008 number:7 day:11 month:07 https://dx.doi.org/10.1007/s10114-007-6601-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 24 2008 7 11 07
spelling	10.1007/s10114-007-6601-2 doi (DE-627)SPR008941505 (SPR)s10114-007-6601-2-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.00 bkl Yousefi, B. verfasserin aut On the supercyclicity and hypercyclicity of the operator algebra 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of -strong operator topology. operator algebra (dpeaa)DE-He213 -strong topology (dpeaa)DE-He213 strong operator topology (dpeaa)DE-He213 hypercyclicity criterion (dpeaa)DE-He213 supercyclicity criterion (dpeaa)DE-He213 Rezaei, H. verfasserin aut Enthalten in Acta mathematica sinica Berlin : Springer, 1985 24(2008), 7 vom: 11. Juli (DE-627)312226470 (DE-600)2011055-8 1439-7617 nnns volume:24 year:2008 number:7 day:11 month:07 https://dx.doi.org/10.1007/s10114-007-6601-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 24 2008 7 11 07
allfields_unstemmed	10.1007/s10114-007-6601-2 doi (DE-627)SPR008941505 (SPR)s10114-007-6601-2-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.00 bkl Yousefi, B. verfasserin aut On the supercyclicity and hypercyclicity of the operator algebra 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of -strong operator topology. operator algebra (dpeaa)DE-He213 -strong topology (dpeaa)DE-He213 strong operator topology (dpeaa)DE-He213 hypercyclicity criterion (dpeaa)DE-He213 supercyclicity criterion (dpeaa)DE-He213 Rezaei, H. verfasserin aut Enthalten in Acta mathematica sinica Berlin : Springer, 1985 24(2008), 7 vom: 11. Juli (DE-627)312226470 (DE-600)2011055-8 1439-7617 nnns volume:24 year:2008 number:7 day:11 month:07 https://dx.doi.org/10.1007/s10114-007-6601-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 24 2008 7 11 07
allfieldsGer	10.1007/s10114-007-6601-2 doi (DE-627)SPR008941505 (SPR)s10114-007-6601-2-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.00 bkl Yousefi, B. verfasserin aut On the supercyclicity and hypercyclicity of the operator algebra 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of -strong operator topology. operator algebra (dpeaa)DE-He213 -strong topology (dpeaa)DE-He213 strong operator topology (dpeaa)DE-He213 hypercyclicity criterion (dpeaa)DE-He213 supercyclicity criterion (dpeaa)DE-He213 Rezaei, H. verfasserin aut Enthalten in Acta mathematica sinica Berlin : Springer, 1985 24(2008), 7 vom: 11. Juli (DE-627)312226470 (DE-600)2011055-8 1439-7617 nnns volume:24 year:2008 number:7 day:11 month:07 https://dx.doi.org/10.1007/s10114-007-6601-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 24 2008 7 11 07
allfieldsSound	10.1007/s10114-007-6601-2 doi (DE-627)SPR008941505 (SPR)s10114-007-6601-2-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.00 bkl Yousefi, B. verfasserin aut On the supercyclicity and hypercyclicity of the operator algebra 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of -strong operator topology. operator algebra (dpeaa)DE-He213 -strong topology (dpeaa)DE-He213 strong operator topology (dpeaa)DE-He213 hypercyclicity criterion (dpeaa)DE-He213 supercyclicity criterion (dpeaa)DE-He213 Rezaei, H. verfasserin aut Enthalten in Acta mathematica sinica Berlin : Springer, 1985 24(2008), 7 vom: 11. Juli (DE-627)312226470 (DE-600)2011055-8 1439-7617 nnns volume:24 year:2008 number:7 day:11 month:07 https://dx.doi.org/10.1007/s10114-007-6601-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 24 2008 7 11 07
language	English
source	Enthalten in Acta mathematica sinica 24(2008), 7 vom: 11. Juli volume:24 year:2008 number:7 day:11 month:07
sourceStr	Enthalten in Acta mathematica sinica 24(2008), 7 vom: 11. Juli volume:24 year:2008 number:7 day:11 month:07
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	operator algebra *-strong topology strong operator topology hypercyclicity criterion supercyclicity criterion
dewey-raw	510
isfreeaccess_bool	false
container_title	Acta mathematica sinica
authorswithroles_txt_mv	Yousefi, B. @@aut@@ Rezaei, H. @@aut@@
publishDateDaySort_date	2008-07-11T00:00:00Z
hierarchy_top_id	312226470
dewey-sort	3510
id	SPR008941505
language_de	englisch
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author	Yousefi, B.
spellingShingle	Yousefi, B. ddc 510 bkl 31.00 misc operator algebra misc *-strong topology misc strong operator topology misc hypercyclicity criterion misc supercyclicity criterion On the supercyclicity and hypercyclicity of the operator algebra
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topic_title	510 ASE 31.00 bkl On the supercyclicity and hypercyclicity of the operator algebra operator algebra (dpeaa)DE-He213 *-strong topology (dpeaa)DE-He213 strong operator topology (dpeaa)DE-He213 hypercyclicity criterion (dpeaa)DE-He213 supercyclicity criterion (dpeaa)DE-He213
topic	ddc 510 bkl 31.00 misc operator algebra misc *-strong topology misc strong operator topology misc hypercyclicity criterion misc supercyclicity criterion
topic_unstemmed	ddc 510 bkl 31.00 misc operator algebra misc *-strong topology misc strong operator topology misc hypercyclicity criterion misc supercyclicity criterion
topic_browse	ddc 510 bkl 31.00 misc operator algebra misc *-strong topology misc strong operator topology misc hypercyclicity criterion misc supercyclicity criterion
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title	On the supercyclicity and hypercyclicity of the operator algebra
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title_full	On the supercyclicity and hypercyclicity of the operator algebra
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title_sort	on the supercyclicity and hypercyclicity of the operator algebra
title_auth	On the supercyclicity and hypercyclicity of the operator algebra
abstract	Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of *-strong operator topology.
abstractGer	Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of *-strong operator topology.
abstract_unstemmed	Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied by Chan and here we obtain an analogous result in the case of *-strong operator topology.
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title_short	On the supercyclicity and hypercyclicity of the operator algebra
url	https://dx.doi.org/10.1007/s10114-007-6601-2
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up_date	2024-07-03T23:58:32.107Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR008941505</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220110204902.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201005s2008 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10114-007-6601-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR008941505</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s10114-007-6601-2-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yousefi, B.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the supercyclicity and hypercyclicity of the operator algebra</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2008</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or -strong topology. We give sufficient conditions for a continuous linear mapping L: B(X) → B(X) to be supercyclic or -supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. 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On the supercyclicity and hypercyclicity of the operator algebra

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