Preservers of pseudo spectral radius of operator products
Let H be an infinite-dimensional complex Hilbert space and let L ( H ) be the algebra of all bounded linear operators on H . For ε > 0 and T ∈ L ( H ) , let r ε ( T ) denote the ε-pseudo spectral radius of T. We characterize surjective maps ϕ on L ( H ) which satisfy r ε ( ϕ ( T ) ϕ ( S ) ) = r ε...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bendaoud, M. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Umfang: |
13 |
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| Übergeordnetes Werk: |
Enthalten in: CFD investigation on particle deposition in aligned and staggered ribbed duct air flows - Lu, Hao ELSEVIER, 2016, LAA, New York, NY |
|---|---|
| Übergeordnetes Werk: |
volume:489 ; year:2016 ; day:15 ; month:01 ; pages:186-198 ; extent:13 |
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|---|
| DOI / URN: |
10.1016/j.laa.2015.10.022 |
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| 520 | |a Let H be an infinite-dimensional complex Hilbert space and let L ( H ) be the algebra of all bounded linear operators on H . For ε > 0 and T ∈ L ( H ) , let r ε ( T ) denote the ε-pseudo spectral radius of T. We characterize surjective maps ϕ on L ( H ) which satisfy r ε ( ϕ ( T ) ϕ ( S ) ) = r ε ( T S ) for all T , S ∈ L ( H ) . We also obtain analogous result for the finite-dimensional case, without the surjectivity assumption on ϕ. | ||
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10.1016/j.laa.2015.10.022 doi GBVA2016022000012.pica (DE-627)ELV02488099X (ELSEVIER)S0024-3795(15)00617-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 690 VZ 530 620 VZ 52.56 bkl Bendaoud, M. verfasserin aut Preservers of pseudo spectral radius of operator products 2016 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let H be an infinite-dimensional complex Hilbert space and let L ( H ) be the algebra of all bounded linear operators on H . For ε > 0 and T ∈ L ( H ) , let r ε ( T ) denote the ε-pseudo spectral radius of T. We characterize surjective maps ϕ on L ( H ) which satisfy r ε ( ϕ ( T ) ϕ ( S ) ) = r ε ( T S ) for all T , S ∈ L ( H ) . We also obtain analogous result for the finite-dimensional case, without the surjectivity assumption on ϕ. 47B49 Elsevier 47A25 Elsevier 47A10 Elsevier Benyouness, A. oth Sarih, M. oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:489 year:2016 day:15 month:01 pages:186-198 extent:13 https://doi.org/10.1016/j.laa.2015.10.022 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 489 2016 15 0115 186-198 13 045F 510 |
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10.1016/j.laa.2015.10.022 doi GBVA2016022000012.pica (DE-627)ELV02488099X (ELSEVIER)S0024-3795(15)00617-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 690 VZ 530 620 VZ 52.56 bkl Bendaoud, M. verfasserin aut Preservers of pseudo spectral radius of operator products 2016 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let H be an infinite-dimensional complex Hilbert space and let L ( H ) be the algebra of all bounded linear operators on H . For ε > 0 and T ∈ L ( H ) , let r ε ( T ) denote the ε-pseudo spectral radius of T. We characterize surjective maps ϕ on L ( H ) which satisfy r ε ( ϕ ( T ) ϕ ( S ) ) = r ε ( T S ) for all T , S ∈ L ( H ) . We also obtain analogous result for the finite-dimensional case, without the surjectivity assumption on ϕ. 47B49 Elsevier 47A25 Elsevier 47A10 Elsevier Benyouness, A. oth Sarih, M. oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:489 year:2016 day:15 month:01 pages:186-198 extent:13 https://doi.org/10.1016/j.laa.2015.10.022 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 489 2016 15 0115 186-198 13 045F 510 |
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Let H be an infinite-dimensional complex Hilbert space and let L ( H ) be the algebra of all bounded linear operators on H . For ε > 0 and T ∈ L ( H ) , let r ε ( T ) denote the ε-pseudo spectral radius of T. We characterize surjective maps ϕ on L ( H ) which satisfy r ε ( ϕ ( T ) ϕ ( S ) ) = r ε ( T S ) for all T , S ∈ L ( H ) . We also obtain analogous result for the finite-dimensional case, without the surjectivity assumption on ϕ. |
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Let H be an infinite-dimensional complex Hilbert space and let L ( H ) be the algebra of all bounded linear operators on H . For ε > 0 and T ∈ L ( H ) , let r ε ( T ) denote the ε-pseudo spectral radius of T. We characterize surjective maps ϕ on L ( H ) which satisfy r ε ( ϕ ( T ) ϕ ( S ) ) = r ε ( T S ) for all T , S ∈ L ( H ) . We also obtain analogous result for the finite-dimensional case, without the surjectivity assumption on ϕ. |
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Let H be an infinite-dimensional complex Hilbert space and let L ( H ) be the algebra of all bounded linear operators on H . For ε > 0 and T ∈ L ( H ) , let r ε ( T ) denote the ε-pseudo spectral radius of T. We characterize surjective maps ϕ on L ( H ) which satisfy r ε ( ϕ ( T ) ϕ ( S ) ) = r ε ( T S ) for all T , S ∈ L ( H ) . We also obtain analogous result for the finite-dimensional case, without the surjectivity assumption on ϕ. |
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