An introductory course in functional analysis

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions...

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Detalles Bibliográficos
Autores principales: Bowers, Adam, Kalton, Nigel J
Lenguaje:eng
Publicado: Springer 2014
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-1-4939-1945-1
http://cds.cern.ch/record/1980568
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author Bowers, Adam
Kalton, Nigel J
author_facet Bowers, Adam
Kalton, Nigel J
author_sort Bowers, Adam
collection CERN
description Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem. With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.
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spelling cern-19805682021-04-21T20:38:16Zdoi:10.1007/978-1-4939-1945-1http://cds.cern.ch/record/1980568engBowers, AdamKalton, Nigel JAn introductory course in functional analysisMathematical Physics and Mathematics Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem. With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.Springeroai:cds.cern.ch:19805682014
spellingShingle Mathematical Physics and Mathematics
Bowers, Adam
Kalton, Nigel J
An introductory course in functional analysis
title An introductory course in functional analysis
title_full An introductory course in functional analysis
title_fullStr An introductory course in functional analysis
title_full_unstemmed An introductory course in functional analysis
title_short An introductory course in functional analysis
title_sort introductory course in functional analysis
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-1-4939-1945-1
http://cds.cern.ch/record/1980568
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