Geometrical significance of the löwner-heinz inequality
It is proven that the Lowner-Heinz inequality ||At Bt|| ≤ ||AB||t, valid for all positive invertible operators A, B on the Hubert space H and t ε [0, 1], has equivalent forms related to the Finsler structure of the space of positive invertible elements of L(H) or, more generally, of a unital C*-alge...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029939_v128_n4_p1031_Andruchow |
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todo:paper_00029939_v128_n4_p1031_Andruchow2023-10-03T13:55:05Z Geometrical significance of the löwner-heinz inequality Andruchow, E. Corach, G. Stojanoff, D. It is proven that the Lowner-Heinz inequality ||At Bt|| ≤ ||AB||t, valid for all positive invertible operators A, B on the Hubert space H and t ε [0, 1], has equivalent forms related to the Finsler structure of the space of positive invertible elements of L(H) or, more generally, of a unital C*-algebra. In particular, the Löwner-Heinz inequality is equivalent to some type of "nonpositive curvature" property of that space. © 2000 American Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v128_n4_p1031_Andruchow |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
It is proven that the Lowner-Heinz inequality ||At Bt|| ≤ ||AB||t, valid for all positive invertible operators A, B on the Hubert space H and t ε [0, 1], has equivalent forms related to the Finsler structure of the space of positive invertible elements of L(H) or, more generally, of a unital C*-algebra. In particular, the Löwner-Heinz inequality is equivalent to some type of "nonpositive curvature" property of that space. © 2000 American Mathematical Society. |
| format |
JOUR |
| author |
Andruchow, E. Corach, G. Stojanoff, D. |
| spellingShingle |
Andruchow, E. Corach, G. Stojanoff, D. Geometrical significance of the löwner-heinz inequality |
| author_facet |
Andruchow, E. Corach, G. Stojanoff, D. |
| author_sort |
Andruchow, E. |
| title |
Geometrical significance of the löwner-heinz inequality |
| title_short |
Geometrical significance of the löwner-heinz inequality |
| title_full |
Geometrical significance of the löwner-heinz inequality |
| title_fullStr |
Geometrical significance of the löwner-heinz inequality |
| title_full_unstemmed |
Geometrical significance of the löwner-heinz inequality |
| title_sort |
geometrical significance of the löwner-heinz inequality |
| url |
http://hdl.handle.net/20.500.12110/paper_00029939_v128_n4_p1031_Andruchow |
| work_keys_str_mv |
AT andruchowe geometricalsignificanceofthelownerheinzinequality AT corachg geometricalsignificanceofthelownerheinzinequality AT stojanoffd geometricalsignificanceofthelownerheinzinequality |
| _version_ |
1807323336845295616 |