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Introductory Theory of Topological Vector SPates (Pure & Applied Mathematics, Band 167) - Hardcover

Wong, Yau-Chuen

 
9780824787790: Introductory Theory of Topological Vector SPates (Pure & Applied Mathematics, Band 167)
Hardcover
ISBN 10: 082478779X ISBN 13: 9780824787790
Verlag: CRC Press, 1992

Inhaltsangabe

This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

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Über die Autorin bzw. den Autor

Wong\, Yau-Chuen

Von der hinteren Coverseite

This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
CRC Press
Erscheinungsdatum
1992
Sprache
Englisch
ISBN 10 
082478779X
ISBN 13 
9780824787790
Einband
Gebundene Ausgabe
Anzahl der Seiten
440
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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