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Title
Real and functional analysis / Vladimir I. Bogachev, Oleg G. Smolyanov.
ISBN
9783030382193
3030382192
9783030382186
3030382184
Published
Cham : Springer, 2020.
Language
English
Description
1 online resource (xvi, 586 pages)
Item Number
10.1007/978-3-030-38
Call Number
QA320
Dewey Decimal Classification
515
Summary
This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references. The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Series
Moscow lectures ; v. 4.
Metric and Topological Spaces
Fundamentals of Measure Theory
The Lebesgue Integral
Connections between the Integral and Derivative
Normed and Euclidean Spaces
Linear Operators and Functionals
Spectral Theory
Locally Convex Spaces and Distributions
The Fourier Transform and Sobolev Spaces
Unbounded Operators and Operator Semigroups
Banach Algebras
Infinite-Dimensional Analysis.
