The small projections property of

We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the sm...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Esslamzadeh, G.H. [verfasserIn] Moazami Goodarzi, M. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Rickart (HP) property (SP) property Non-commutative topology

Übergeordnetes Werk:	Enthalten in: Journal of mathematical analysis and applications - Amsterdam [u.a.] : Elsevier, 1960, 462, Seite 1727-1736
Übergeordnetes Werk:	volume:462 ; pages:1727-1736

DOI / URN:	10.1016/j.jmaa.2018.03.010

Katalog-ID:	ELV001299220

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245	1	0	\|a The small projections property of
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520			\|a We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP).
650		4	\|a Rickart
650		4	\|a (HP) property
650		4	\|a (SP) property
650		4	\|a Non-commutative topology
700	1		\|a Moazami Goodarzi, M. \|e verfasserin \|4 aut
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936	b	k	\|a 31.00 \|j Mathematik: Allgemeines
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allfields	10.1016/j.jmaa.2018.03.010 doi (DE-627)ELV001299220 (ELSEVIER)S0022-247X(18)30207-5 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Esslamzadeh, G.H. verfasserin aut The small projections property of 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP). Rickart (HP) property (SP) property Non-commutative topology Moazami Goodarzi, M. verfasserin aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 462, Seite 1727-1736 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:462 pages:1727-1736 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 462 1727-1736
spelling	10.1016/j.jmaa.2018.03.010 doi (DE-627)ELV001299220 (ELSEVIER)S0022-247X(18)30207-5 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Esslamzadeh, G.H. verfasserin aut The small projections property of 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP). Rickart (HP) property (SP) property Non-commutative topology Moazami Goodarzi, M. verfasserin aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 462, Seite 1727-1736 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:462 pages:1727-1736 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 462 1727-1736
allfields_unstemmed	10.1016/j.jmaa.2018.03.010 doi (DE-627)ELV001299220 (ELSEVIER)S0022-247X(18)30207-5 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Esslamzadeh, G.H. verfasserin aut The small projections property of 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP). Rickart (HP) property (SP) property Non-commutative topology Moazami Goodarzi, M. verfasserin aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 462, Seite 1727-1736 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:462 pages:1727-1736 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 462 1727-1736
allfieldsGer	10.1016/j.jmaa.2018.03.010 doi (DE-627)ELV001299220 (ELSEVIER)S0022-247X(18)30207-5 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Esslamzadeh, G.H. verfasserin aut The small projections property of 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP). Rickart (HP) property (SP) property Non-commutative topology Moazami Goodarzi, M. verfasserin aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 462, Seite 1727-1736 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:462 pages:1727-1736 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 462 1727-1736
allfieldsSound	10.1016/j.jmaa.2018.03.010 doi (DE-627)ELV001299220 (ELSEVIER)S0022-247X(18)30207-5 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Esslamzadeh, G.H. verfasserin aut The small projections property of 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP). Rickart (HP) property (SP) property Non-commutative topology Moazami Goodarzi, M. verfasserin aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 462, Seite 1727-1736 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:462 pages:1727-1736 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 462 1727-1736
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author	Esslamzadeh, G.H.
spellingShingle	Esslamzadeh, G.H. ddc 510 bkl 31.00 misc Rickart misc (HP) property misc (SP) property misc Non-commutative topology The small projections property of
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topic_title	510 DE-600 31.00 bkl The small projections property of Rickart (HP) property (SP) property Non-commutative topology
topic	ddc 510 bkl 31.00 misc Rickart misc (HP) property misc (SP) property misc Non-commutative topology
topic_unstemmed	ddc 510 bkl 31.00 misc Rickart misc (HP) property misc (SP) property misc Non-commutative topology
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title	The small projections property of
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title_full	The small projections property of
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title_sort	the small projections property of
title_auth	The small projections property of
abstract	We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP).
abstractGer	We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP).
abstract_unstemmed	We prove a new characterization of Rickart C ⁎ -algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). Finally, among other results, a characterization of A W ⁎ -algebras is given in terms of (SP).
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title_short	The small projections property of
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up_date	2024-07-06T20:53:57.539Z
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We also characterize the small projections property (SP) for type I C ⁎ -algebras with Hausdorff primitive spectrum. As an application to group C ⁎ -algebras, we identify certain locally compact groups G for which C ⁎ ( G ) has (SP). 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