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Abstract duality pairs in analysis[e...

Swartz, Charles, (1938-)

Abstract duality pairs in analysis[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515/.63
書名/作者:	Abstract duality pairs in analysis/ Charles Swartz.
作者:	Swartz, Charles,
出版者:	Singapore : : World Scientific Publishing,, c2018.
面頁冊數:	1 online resource (302 p.) : : ill.
標題:	Scalar field theory.
標題:	Abelian groups.
標題:	Functional analysis.
ISBN:	9789813232778
書目註:	Includes bibliographical references (p. 281-286) and index.
摘要、提要註:	"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."--
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/10783#t=toc

Abstract duality pairs in analysis[electronic resource] /
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:

710588
Scalar field theory.

LC Class. No.: QA433 / .S875 2018

Dewey Class. No.: 515/.63

Abstract duality pairs in analysis[electronic resource] /
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020 $z 9789813232761 $q (hbk.)
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050 0 4 $a QA433 $b .S875 2018
082 0 4 $a 515/.63 $2 23
100 1 $a Swartz, Charles, $d 1938- $3 710587
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 710588
650 0 $a Abelian groups. $3 467524
650 0 $a Functional analysis. $3 403818
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/10783#t=toc

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