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.
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Produktdetaljer
ISBN
9783319920047
Publisert
2018
Utgiver
Vendor
Springer
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter