東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Abstract duality pairs in analysis

Swartz, Charles, (1938-)

Linked to FindBook

Google Book

Amazon

博客來

Abstract duality pairs in analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Abstract duality pairs in analysis/ Charles Swartz.
Author:	Swartz, Charles,
Published:	Singapore :World Scientific Publishing, : c2018.,
Description:	1 online resource (302 p.) :ill.
Subject:	Scalar field theory. -
Online resource:	https://www.worldscientific.com/worldscibooks/10.1142/10783#t=toc
ISBN:	9789813232778

Abstract duality pairs in analysis
Swartz, Charles,1938-

Abstract duality pairs in analysis[electronic resource] /Charles Swartz. - 1st ed. - Singapore :World Scientific Publishing,c2018. - 1 online resource (302 p.) :ill.

Includes bibliographical references (p. 281-286) and index.

"The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz-Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach-Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali-Hahn-Saks Theorem from measure theory and the Hahn-Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis."--

Electronic reproduction.
Singapore :
World Scientific,
[2017]

ISBN: 9789813232778Subjects--Topical Terms:

898523
Scalar field theory.

LC Class. No.: QA433 / .S875 2018

Dewey Class. No.: 515/.63

Abstract duality pairs in analysis
LDR:01930nmm a2200289 a 4500 001 2220404
003 WSP
005 20171117051307.0
006 m o d
007 cr cnu---unuuu
008 201204s2018 si a ob 001 0 eng d
010 $z 2017039625
020 $a 9789813232778 $q (electronic bk.)
020 $z 9789813232761 $q (hbk.)
035 $a 00010783
040 $a WSPC $b eng $c WSPC
041 0 $a eng
050 0 4 $a QA433 $b .S875 2018
082 0 4 $a 515/.63 $2 23
100 1 $a Swartz, Charles, $d 1938- $3 840452
245 1 0 $a Abstract duality pairs in analysis $h [electronic resource] / $c Charles Swartz.
250 $a 1st ed.
260 $a Singapore : $b World Scientific Publishing, $c c2018.
300 $a 1 online resource (302 p.) : $b ill.
504 $a Includes bibliographical references (p. 281-286) and index.
520 $a "The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz-Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach-Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali-Hahn-Saks Theorem from measure theory and the Hahn-Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis."-- $c Provided by publisher.
533 $a Electronic reproduction. $b Singapore : $c World Scientific, $d [2017]
588 $a Description based on online resource; title from PDF title page (viewed December 6, 2017)
650 0 $a Scalar field theory. $3 898523
650 0 $a Abelian groups. $3 641259
650 0 $a Functional analysis. $3 531838
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/10783#t=toc