A Course in Functional Analysis and Measure Theory

A Course in Functional Analysis and Measure Theory

Vladimir Kadets

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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. click to read more

Year:
2018

Edition:
1st ed.

Publisher:
Springer International Publishing

Language:
english

Pages:
553

ISBN 13:
9783319920047

Series:
Universitext

File:
PDF, 6.09 MB