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Universitext

A Course in Functional Analysis and Measure Theory

Authors: Kadets, Vladimir

  • Provides necessary preliminaries
  • Explores basic and advanced material in functional analysis and operator theory, including applications to Fourier series and the Fourier transform
  • Includes over 1500 exercises
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eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-92004-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-92003-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis.

Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory.

Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

About the authors

Vladimir Kadets has authored two monographs and more than 100 articles in peer-reviewed journals, mainly in Banach space theory: sequences and series, bases, vector-valued measures and integration, measurable multi-functions and selectors, isomorphic and isometric structures of Banach spaces, operator theory. In 2005 he received the State Award of Ukraine in Science and Technology to honour his research. The present book reflects the author’s teaching experience in the field, spanning over more than 20 years. 

Table of contents (18 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-92004-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-92003-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Course in Functional Analysis and Measure Theory
Authors
Translated by
Iacob, A.
Series Title
Universitext
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-92004-7
DOI
10.1007/978-3-319-92004-7
Softcover ISBN
978-3-319-92003-0
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XXII, 539
Additional Information
Original Russian edition published by V.N. Karazin Kharkiv National University, Kharkiv, 2006
Topics