Polynomially EP operators

Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Mosić, Dijana [verfasserIn] Cvetković, Miloš D.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	EP operator Moore-Penorse inverse Hilbert space

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022

Übergeordnetes Werk:	Enthalten in: Aequationes mathematicae - Basel : Birkhäuser, 1968, 96(2022), 5 vom: 21. Apr., Seite 1075-1087
Übergeordnetes Werk:	volume:96 ; year:2022 ; number:5 ; day:21 ; month:04 ; pages:1075-1087

Links:	Volltext

DOI / URN:	10.1007/s00010-022-00878-2

Katalog-ID:	SPR048093491

Internformat


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520			\|a Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators.
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912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
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912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
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912			\|a GBV_ILN_213
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912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
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912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
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912			\|a GBV_ILN_2004
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912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2018
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
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912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
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912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
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912			\|a GBV_ILN_2055
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publishDate	2022
allfields	10.1007/s00010-022-00878-2 doi (DE-627)SPR048093491 (SPR)s00010-022-00878-2-e DE-627 ger DE-627 rakwb eng Mosić, Dijana verfasserin aut Polynomially EP operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. EP operator (dpeaa)DE-He213 Moore-Penorse inverse (dpeaa)DE-He213 Hilbert space (dpeaa)DE-He213 Cvetković, Miloš D. aut Enthalten in Aequationes mathematicae Basel : Birkhäuser, 1968 96(2022), 5 vom: 21. Apr., Seite 1075-1087 (DE-627)265505496 (DE-600)1463826-5 1420-8903 nnns volume:96 year:2022 number:5 day:21 month:04 pages:1075-1087 https://dx.doi.org/10.1007/s00010-022-00878-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2018 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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 96 2022 5 21 04 1075-1087
spelling	10.1007/s00010-022-00878-2 doi (DE-627)SPR048093491 (SPR)s00010-022-00878-2-e DE-627 ger DE-627 rakwb eng Mosić, Dijana verfasserin aut Polynomially EP operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. EP operator (dpeaa)DE-He213 Moore-Penorse inverse (dpeaa)DE-He213 Hilbert space (dpeaa)DE-He213 Cvetković, Miloš D. aut Enthalten in Aequationes mathematicae Basel : Birkhäuser, 1968 96(2022), 5 vom: 21. Apr., Seite 1075-1087 (DE-627)265505496 (DE-600)1463826-5 1420-8903 nnns volume:96 year:2022 number:5 day:21 month:04 pages:1075-1087 https://dx.doi.org/10.1007/s00010-022-00878-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2018 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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 96 2022 5 21 04 1075-1087
allfields_unstemmed	10.1007/s00010-022-00878-2 doi (DE-627)SPR048093491 (SPR)s00010-022-00878-2-e DE-627 ger DE-627 rakwb eng Mosić, Dijana verfasserin aut Polynomially EP operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. EP operator (dpeaa)DE-He213 Moore-Penorse inverse (dpeaa)DE-He213 Hilbert space (dpeaa)DE-He213 Cvetković, Miloš D. aut Enthalten in Aequationes mathematicae Basel : Birkhäuser, 1968 96(2022), 5 vom: 21. Apr., Seite 1075-1087 (DE-627)265505496 (DE-600)1463826-5 1420-8903 nnns volume:96 year:2022 number:5 day:21 month:04 pages:1075-1087 https://dx.doi.org/10.1007/s00010-022-00878-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2018 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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 96 2022 5 21 04 1075-1087
allfieldsGer	10.1007/s00010-022-00878-2 doi (DE-627)SPR048093491 (SPR)s00010-022-00878-2-e DE-627 ger DE-627 rakwb eng Mosić, Dijana verfasserin aut Polynomially EP operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. EP operator (dpeaa)DE-He213 Moore-Penorse inverse (dpeaa)DE-He213 Hilbert space (dpeaa)DE-He213 Cvetković, Miloš D. aut Enthalten in Aequationes mathematicae Basel : Birkhäuser, 1968 96(2022), 5 vom: 21. Apr., Seite 1075-1087 (DE-627)265505496 (DE-600)1463826-5 1420-8903 nnns volume:96 year:2022 number:5 day:21 month:04 pages:1075-1087 https://dx.doi.org/10.1007/s00010-022-00878-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2018 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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 96 2022 5 21 04 1075-1087
allfieldsSound	10.1007/s00010-022-00878-2 doi (DE-627)SPR048093491 (SPR)s00010-022-00878-2-e DE-627 ger DE-627 rakwb eng Mosić, Dijana verfasserin aut Polynomially EP operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. EP operator (dpeaa)DE-He213 Moore-Penorse inverse (dpeaa)DE-He213 Hilbert space (dpeaa)DE-He213 Cvetković, Miloš D. aut Enthalten in Aequationes mathematicae Basel : Birkhäuser, 1968 96(2022), 5 vom: 21. Apr., Seite 1075-1087 (DE-627)265505496 (DE-600)1463826-5 1420-8903 nnns volume:96 year:2022 number:5 day:21 month:04 pages:1075-1087 https://dx.doi.org/10.1007/s00010-022-00878-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2018 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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 96 2022 5 21 04 1075-1087
language	English
source	Enthalten in Aequationes mathematicae 96(2022), 5 vom: 21. Apr., Seite 1075-1087 volume:96 year:2022 number:5 day:21 month:04 pages:1075-1087
sourceStr	Enthalten in Aequationes mathematicae 96(2022), 5 vom: 21. Apr., Seite 1075-1087 volume:96 year:2022 number:5 day:21 month:04 pages:1075-1087
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	EP operator Moore-Penorse inverse Hilbert space
isfreeaccess_bool	false
container_title	Aequationes mathematicae
authorswithroles_txt_mv	Mosić, Dijana @@aut@@ Cvetković, Miloš D. @@aut@@
publishDateDaySort_date	2022-04-21T00:00:00Z
hierarchy_top_id	265505496
id	SPR048093491
language_de	englisch
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author	Mosić, Dijana
spellingShingle	Mosić, Dijana misc EP operator misc Moore-Penorse inverse misc Hilbert space Polynomially EP operators
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topic_title	Polynomially EP operators EP operator (dpeaa)DE-He213 Moore-Penorse inverse (dpeaa)DE-He213 Hilbert space (dpeaa)DE-He213
topic	misc EP operator misc Moore-Penorse inverse misc Hilbert space
topic_unstemmed	misc EP operator misc Moore-Penorse inverse misc Hilbert space
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title	Polynomially EP operators
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title_full	Polynomially EP operators
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author_browse	Mosić, Dijana Cvetković, Miloš D.
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author-letter	Mosić, Dijana
doi_str_mv	10.1007/s00010-022-00878-2
title_sort	polynomially ep operators
title_auth	Polynomially EP operators
abstract	Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
abstractGer	Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
abstract_unstemmed	Abstract The aim of this paper is to introduce a new class of operators, which is called the class of polynomially EP operators. The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
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title_short	Polynomially EP operators
url	https://dx.doi.org/10.1007/s00010-022-00878-2
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author2	Cvetković, Miloš D.
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up_date	2024-07-03T16:57:36.515Z
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The class of polynomially EP operators provides an extension of EP, n-EP and polynomially normal operators with a closed range. Various properties and characterizations of polynomially EP operators are presented. We investigate additional conditions under which polynomially EP operators are polynomially normal operators. Applying these results, we obtain new characterizations of EP, n-EP, normal and n-normal operators.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">EP operator</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Moore-Penorse inverse</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hilbert space</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cvetković, Miloš D.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Aequationes mathematicae</subfield><subfield code="d">Basel : Birkhäuser, 1968</subfield><subfield code="g">96(2022), 5 vom: 21. Apr., Seite 1075-1087</subfield><subfield code="w">(DE-627)265505496</subfield><subfield code="w">(DE-600)1463826-5</subfield><subfield code="x">1420-8903</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:96</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:5</subfield><subfield code="g">day:21</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:1075-1087</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s00010-022-00878-2</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield 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