The c-numerical range of operator products on %${\mathcal {B}}(H)%$
Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, Yanfang [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Tusi Mathematical Research Group (TMRG) 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Banach journal of mathematical analysis - Mashhad, Iran : BMRG, 2007, 14(2019), 1 vom: 01. Dez., Seite 163-180 |
|---|---|
| Übergeordnetes Werk: |
volume:14 ; year:2019 ; number:1 ; day:01 ; month:12 ; pages:163-180 |
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| DOI / URN: |
10.1007/s43037-019-00022-4 |
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SPR038847191 |
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10.1007/s43037-019-00022-4 doi (DE-627)SPR038847191 (SPR)s43037-019-00022-4-e DE-627 ger DE-627 rakwb eng Zhang, Yanfang verfasserin aut The c-numerical range of operator products on %${\mathcal {B}}(H)%$ 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2019 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. Preserver (dpeaa)DE-He213 -Numerical range (dpeaa)DE-He213 Elliptical ranges (dpeaa)DE-He213 Fang, Xiaochun aut Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2019), 1 vom: 01. Dez., Seite 163-180 (DE-627)549633782 (DE-600)2395499-1 1735-8787 nnns volume:14 year:2019 number:1 day:01 month:12 pages:163-180 https://dx.doi.org/10.1007/s43037-019-00022-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_100 GBV_ILN_120 GBV_ILN_702 GBV_ILN_2009 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4305 AR 14 2019 1 01 12 163-180 |
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10.1007/s43037-019-00022-4 doi (DE-627)SPR038847191 (SPR)s43037-019-00022-4-e DE-627 ger DE-627 rakwb eng Zhang, Yanfang verfasserin aut The c-numerical range of operator products on %${\mathcal {B}}(H)%$ 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2019 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. Preserver (dpeaa)DE-He213 -Numerical range (dpeaa)DE-He213 Elliptical ranges (dpeaa)DE-He213 Fang, Xiaochun aut Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2019), 1 vom: 01. Dez., Seite 163-180 (DE-627)549633782 (DE-600)2395499-1 1735-8787 nnns volume:14 year:2019 number:1 day:01 month:12 pages:163-180 https://dx.doi.org/10.1007/s43037-019-00022-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_100 GBV_ILN_120 GBV_ILN_702 GBV_ILN_2009 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4305 AR 14 2019 1 01 12 163-180 |
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10.1007/s43037-019-00022-4 doi (DE-627)SPR038847191 (SPR)s43037-019-00022-4-e DE-627 ger DE-627 rakwb eng Zhang, Yanfang verfasserin aut The c-numerical range of operator products on %${\mathcal {B}}(H)%$ 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2019 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. Preserver (dpeaa)DE-He213 -Numerical range (dpeaa)DE-He213 Elliptical ranges (dpeaa)DE-He213 Fang, Xiaochun aut Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2019), 1 vom: 01. Dez., Seite 163-180 (DE-627)549633782 (DE-600)2395499-1 1735-8787 nnns volume:14 year:2019 number:1 day:01 month:12 pages:163-180 https://dx.doi.org/10.1007/s43037-019-00022-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_100 GBV_ILN_120 GBV_ILN_702 GBV_ILN_2009 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4305 AR 14 2019 1 01 12 163-180 |
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10.1007/s43037-019-00022-4 doi (DE-627)SPR038847191 (SPR)s43037-019-00022-4-e DE-627 ger DE-627 rakwb eng Zhang, Yanfang verfasserin aut The c-numerical range of operator products on %${\mathcal {B}}(H)%$ 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2019 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. Preserver (dpeaa)DE-He213 -Numerical range (dpeaa)DE-He213 Elliptical ranges (dpeaa)DE-He213 Fang, Xiaochun aut Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2019), 1 vom: 01. Dez., Seite 163-180 (DE-627)549633782 (DE-600)2395499-1 1735-8787 nnns volume:14 year:2019 number:1 day:01 month:12 pages:163-180 https://dx.doi.org/10.1007/s43037-019-00022-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_100 GBV_ILN_120 GBV_ILN_702 GBV_ILN_2009 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4305 AR 14 2019 1 01 12 163-180 |
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10.1007/s43037-019-00022-4 doi (DE-627)SPR038847191 (SPR)s43037-019-00022-4-e DE-627 ger DE-627 rakwb eng Zhang, Yanfang verfasserin aut The c-numerical range of operator products on %${\mathcal {B}}(H)%$ 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2019 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. Preserver (dpeaa)DE-He213 -Numerical range (dpeaa)DE-He213 Elliptical ranges (dpeaa)DE-He213 Fang, Xiaochun aut Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2019), 1 vom: 01. Dez., Seite 163-180 (DE-627)549633782 (DE-600)2395499-1 1735-8787 nnns volume:14 year:2019 number:1 day:01 month:12 pages:163-180 https://dx.doi.org/10.1007/s43037-019-00022-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_100 GBV_ILN_120 GBV_ILN_702 GBV_ILN_2009 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4305 AR 14 2019 1 01 12 163-180 |
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Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. © Tusi Mathematical Research Group (TMRG) 2019 |
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Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. © Tusi Mathematical Research Group (TMRG) 2019 |
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Abstract Let %$\mathcal {H}%$ be a complex Hilbert space of dimension %$\ge 2%$ and %$\mathfrak {B}(\mathcal {H})%$ be the algebra of all bounded linear operators on %$\mathcal {H}%$. We give the form of surjective maps on %$\mathfrak {B}(\mathcal {H})%$ preserving the c-numerical range of operator products when the maps preserve weak zero products. As a result, we obtain the characterization of surjective maps on %$M_n(\mathbb {C})%$ preserving the c-numerical range of operator products. The proof of the results depends on some propositions of operators in %$\mathfrak {B}(\mathcal {H})%$, which are of different interest. © Tusi Mathematical Research Group (TMRG) 2019 |
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The c-numerical range of operator products on %${\mathcal {B}}(H)%$ |
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