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Linear Functional Analysis: An Application-Oriented Introduction /
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Catalogue Information
Field name
Details
Dewey Class
515.7
Title
Linear Functional Analysis ([EBook]) : An Application-Oriented Introduction / / by Hans Wilhelm Alt.
Author
Alt, Hans Wilhelm
Other name(s)
SpringerLink (Online service)
Publication
London : : Springer London : : Imprint: Springer, , 2016.
Physical Details
XII, 435 p. 19 illus. : online resource.
Series
Universitext
0172-5939
ISBN
9781447172802
Summary Note
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 note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4471-7280-2
Links to Related Works
Subject References:
Functional Analysis
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Mathematics
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Partial differential equations
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Authors:
Alt, Hans Wilhelm
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
515.7
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