Means of Hilbert space operators

The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates a...

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Detalles Bibliográficos
Autores principales: Hiai, Fumio, Kosaki, Hideki
Lenguaje:eng
Publicado: Springer 2003
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/b13213
http://cds.cern.ch/record/1691403
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author Hiai, Fumio
Kosaki, Hideki
author_facet Hiai, Fumio
Kosaki, Hideki
author_sort Hiai, Fumio
collection CERN
description The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.
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publishDate 2003
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spelling cern-16914032021-04-21T21:10:13Zdoi:10.1007/b13213http://cds.cern.ch/record/1691403engHiai, FumioKosaki, HidekiMeans of Hilbert space operatorsMathematical Physics and MathematicsThe monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.Springeroai:cds.cern.ch:16914032003
spellingShingle Mathematical Physics and Mathematics
Hiai, Fumio
Kosaki, Hideki
Means of Hilbert space operators
title Means of Hilbert space operators
title_full Means of Hilbert space operators
title_fullStr Means of Hilbert space operators
title_full_unstemmed Means of Hilbert space operators
title_short Means of Hilbert space operators
title_sort means of hilbert space operators
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b13213
http://cds.cern.ch/record/1691403
work_keys_str_mv AT hiaifumio meansofhilbertspaceoperators
AT kosakihideki meansofhilbertspaceoperators

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