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Linear functional analysis = an appl...

Alt, Hans Wilhelm.

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Linear functional analysis = an application-oriented introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear functional analysis/ by 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.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Functional analysis. -
Online resource:	http://dx.doi.org/10.1007/978-1-4471-7280-2
ISBN:	9781447172802

Linear functional analysis = an 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

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

531838
Functional analysis.

LC Class. No.: QA320 / .A48 2016

Dewey Class. No.: 515.7

Linear functional analysis = an application-oriented introduction /
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100 1 $a Alt, Hans Wilhelm. $3 2203588
245 1 0 $a Linear functional analysis $h [electronic resource] : $b an application-oriented introduction / $c by Hans Wilhelm Alt ; translated by Robert Nurnberg.
260 $a London : $b Springer London : $b Imprint: Springer, $c 2016.
300 $a xii, 435 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a 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.
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.
650 0 $a Functional analysis. $3 531838
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Partial Differential Equations. $3 890899
700 1 $a Nurnberg, Robert. $3 2203589
710 2 $a SpringerLink (Online service) $3 836513
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856 4 0 $u http://dx.doi.org/10.1007/978-1-4471-7280-2
950 $a Mathematics and Statistics (Springer-11649)