國立虎尾科技大學 |

Linear Functional Analysis = An Application-Oriented Introduction /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Linear Functional Analysis/ by Hans Wilhelm Alt.
Reminder of title:	An Application-Oriented Introduction /
Author:	Alt, Hans Wilhelm.
Description:	XII, 435 p. 19 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://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. - 1st ed. 2016. - XII, 435 p. 19 illus.online resource. - 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:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Linear Functional Analysis = An Application-Oriented Introduction /
LDR:02299nam a22003975i 4500 001 971887
003 DE-He213
005 20200704054333.0
007 cr nn 008mamaa
008 201211s2016 xxk| s |||| 0|eng d
020 $a 9781447172802 $9 978-1-4471-7280-2
024 7 $a 10.1007/978-1-4471-7280-2 $2 doi
035 $a 978-1-4471-7280-2
050 4 $a QA319-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
100 1 $a Alt, Hans Wilhelm. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1111725
245 1 0 $a Linear Functional Analysis $h [electronic resource] : $b An Application-Oriented Introduction / $c by Hans Wilhelm Alt.
250 $a 1st ed. 2016.
264 1 $a London : $b Springer London : $b Imprint: Springer, $c 2016.
300 $a XII, 435 p. 19 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 527706
650 0 $a Partial differential equations. $3 1102982
650 1 4 $a Functional Analysis. $3 672166
650 2 4 $a Partial Differential Equations. $3 671119
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9781447172796
776 0 8 $i Printed edition: $z 9781447172819
830 0 $a Universitext, $x 0172-5939 $3 1253835
856 4 0 $u https://doi.org/10.1007/978-1-4471-7280-2
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)