A Course in Functional Analysis and Measure Theory

By: Vladimir Kadets, Andrei Iacob (Translator)

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Paperback | 20 July 2018

At a Glance

Paperback
564 Pages

Dimensions(cm)
23.39 x 15.6 x 2.9

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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.

Industry Reviews

"'This is a capital textbook of functional analysis, measure theory and operator theory, excellently written by an experienced author. The book is based on undergraduate courses of functional analysis taught at the Department of Mathematics of Kharkov University by the author since 1990.' ... the author is to be commended for writing this altogether remarkable and highly recommended book." (Dirk Werner, zbMATH 1408.46002, 2019)

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