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Geometric nonlinear functional analysis

The book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, comb...

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Detalles Bibliográficos
Autores principales: Benyamini, Yoav, Lindenstrauss, Joram
Lenguaje:eng
Publicado: American Mathematical Society 1999
Materias:
Acceso en línea:http://cds.cern.ch/record/2264188
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author Benyamini, Yoav
Lindenstrauss, Joram
author_facet Benyamini, Yoav
Lindenstrauss, Joram
author_sort Benyamini, Yoav
collection CERN
description The book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and Lipschitz functions between Banach spaces (e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.). This study leads naturally also to the classification of
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
publisher American Mathematical Society
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spelling cern-22641882021-04-21T19:13:30Zhttp://cds.cern.ch/record/2264188engBenyamini, YoavLindenstrauss, JoramGeometric nonlinear functional analysisMathematical Physics and MathematicsThe book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and Lipschitz functions between Banach spaces (e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.). This study leads naturally also to the classification ofAmerican Mathematical Societyoai:cds.cern.ch:22641881999
spellingShingle Mathematical Physics and Mathematics
Benyamini, Yoav
Lindenstrauss, Joram
Geometric nonlinear functional analysis
title Geometric nonlinear functional analysis
title_full Geometric nonlinear functional analysis
title_fullStr Geometric nonlinear functional analysis
title_full_unstemmed Geometric nonlinear functional analysis
title_short Geometric nonlinear functional analysis
title_sort geometric nonlinear functional analysis
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264188
work_keys_str_mv AT benyaminiyoav geometricnonlinearfunctionalanalysis
AT lindenstraussjoram geometricnonlinearfunctionalanalysis