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Functional analysis : an introductory course

Author: Sergeĭ Ovchinnikov
Publisher: Cham : Springer, 2018.
Series: Universitext
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Bounded  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
(OCoLC)1031308436
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sergeĭ Ovchinnikov
ISBN: 9783319915128 3319915126 3319915118 9783319915111
OCLC Number: 1040651209
Description: 1 online resource (XII, 205 pages) : illustrations
Contents: Preface --
1. Preliminaries --
2. Metric Spaces --
3. Special Spaces --
4. Normed Spaces --
5. Linear Functionals --
6. Fundamental Theorems --
7. Hilbert Spaces --
A. Hilbert Spaces L2(J) --
References --
Index.
Series Title: Universitext
Responsibility: Sergei Ovchinnikov.

Abstract:

Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding  Read more...

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"This textbook is well organized and the proofs are carefully written. ... Each chapter is concluded with an interesting note and several exercises, helping the reader to better understand the topics Read more...

 
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