Functional Analysis and Infinite-Dimensional Geometry

Functional Analysis and Infinite-Dimensional Geometry
Author: Marian Fabian
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475734808


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This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.


Functional Analysis and Infinite-Dimensional Geometry
Language: en
Pages: 455
Authors: Marian Fabian
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text ca
Geometric Aspects of Functional Analysis
Language: en
Pages: 339
Authors: Joram Lindenstrauss
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This is the sixth published volume of the Israel Seminar on Geometric Aspects of Functional Analysis. The previous volumes are 1983-84 published privately by Te
An Introduction to Infinite-Dimensional Differential Geometry
Language: en
Pages: 284
Authors: Alexander Schmeding
Categories: Mathematics
Type: BOOK - Published: 2022-12-22 - Publisher: Cambridge University Press

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Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on
Infinite Dimensional Analysis
Language: en
Pages: 732
Authors: Charalambos D. Aliprantis
Categories: Business & Economics
Type: BOOK - Published: 2007-05-02 - Publisher: Springer Science & Business Media

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This monograph presents a study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods,
The Convenient Setting of Global Analysis
Language: en
Pages: 631
Authors: Andreas Kriegl
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus