Linear Functional Analysis : An Application-Oriented Introduction / by Hans Wilhelm Alt.

Format:

Book

Author/Creator:

Alt, Hans Wilhelm., Author.

Series:

Universitext, 0172-5939

Language:

English

Subjects (All):

Functional analysis.

Differential equations, Partial.

Functional Analysis.

Partial Differential Equations.

Local Subjects:

Functional Analysis.

Partial Differential Equations.

Physical Description:

1 online resource (XII, 435 p. 19 illus.)

Edition:

1st ed. 2016.

Place of Publication:

London : Springer London : Imprint: Springer, 2016.

Summary:

This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.

Contents:

Introduction

Preliminaries

Function spaces

Subsets of function spaces

Linear operators

Linear functionals

Uniform boundedness principle

Weak convergence

Finite-dimensional approximation

Compact operators

Spectrum of compact operators

Self-adjoint operators

References

Symbols

Index.

ISBN:

1-4471-7280-9