Linear Functional Analysis
An Application-Oriented Introduction
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ISBN-13:
9781447172796
Veröffentl:
2016
Einband:
Paperback
Erscheinungsdatum:
14.07.2016
Seiten:
448
Autor:
Hans Wilhelm Alt
Gewicht:
674 g
Format:
235x155x25 mm
Serie:
Universitext
Sprache:
Englisch
Beschreibung:
This book gives an introduction to Linear Functional Analysis, which is 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, self-contained introduction to linear functional analysis
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.
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