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Linear functional analysisan applica...

Alt, Hans Wilhelm.

Linear functional analysisan application-oriented introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear functional analysisby Hans Wilhelm Alt ; translated by Robert Nurnberg.
Reminder of title:	an application-oriented introduction /
Author:	Alt, Hans Wilhelm.
other author:	Nurnberg, Robert.
Published:	London :Springer London :2016.
Description:	xii, 435 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Functional analysis.
Online resource:	http://dx.doi.org/10.1007/978-1-4471-7280-2
ISBN:	9781447172802$q(electronic bk.)

Linear functional analysisan application-oriented introduction /
Alt, Hans Wilhelm.

Linear functional analysisan application-oriented introduction /[electronic resource] :by Hans Wilhelm Alt ; translated by Robert Nurnberg. - London :Springer London :2016. - xii, 435 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

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.

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.

ISBN: 9781447172802$q(electronic bk.)

Standard No.: 10.1007/978-1-4471-7280-2doiSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320 / .A48 2016

Dewey Class. No.: 515.7

Linear functional analysisan application-oriented introduction /
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520 $a 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.
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