
Linear Functional Analysis
An Application-Oriented Introduction
Hans Wilhelm Alt(Author)
Springer (Publisher)
1st Edition
Published on 14. July 2016
Book
Paperback/Softback
XII, 435 pages
978-1-4471-7279-6 (ISBN)
Description
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 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.
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.
Reviews / Votes
"The volume under review deals rigorously with mathematical models of certain applicability to real world problems. From this viewpoint it is a significant contribution to a currently active area of research. . this book will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations. . I wholeheartedly recommend this book both as a textbook, as well as for independent study." (Vicentiu D. Radulescu, zbMATH 1358.46002, 2017)More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
London
United Kingdom
Illustrations
19 s/w Abbildungen
XII, 435 p. 19 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 25 mm
Weight
674 gr
ISBN-13
978-1-4471-7279-6 (9781447172796)
DOI
10.1007/978-1-4471-7280-2
Schweitzer Classification
Other editions
Additional editions

E-Book
07/2016
Springer
€85.59
Available for download
Persons
Professor Alt's work has had a significant impact on the areas of applied analysis and partial differential equations, in particular in the applications to mechanics and thermodynamics. Recently, he worked in the mathematical theory of phase transition and made contributions to the entropy principle. Alt was professor at the Institute of Applied Mathematics at the University of Bonn, and since 2011 lectures as Honorary Professor at the Technical University of Munich.
Content
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.