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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Publicado: 2000
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow
http://hdl.handle.net/20.500.12110/paper_00029939_v128_n4_p1031_Andruchow
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00029939_v128_n4_p1031_Andruchow
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spelling paper:paper_00029939_v128_n4_p1031_Andruchow2023-06-08T14:23:24Z 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*-algebra. In particular, the Löwner-Heinz inequality is equivalent to some type of "nonpositive curvature" property of that space. © 2000 American Mathematical Society. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow http://hdl.handle.net/20.500.12110/paper_00029939_v128_n4_p1031_Andruchow
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection 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.
title Geometrical significance of the löwner-heinz inequality
spellingShingle 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
publishDate 2000
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow
http://hdl.handle.net/20.500.12110/paper_00029939_v128_n4_p1031_Andruchow
_version_ 1768543970586001408

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