From Hahn-Banach to Monotonicity: 1693 (Lecture Notes in Mathematics) - Softcover

Simons, Stephen

 
9781402069185: From Hahn-Banach to Monotonicity: 1693 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 1402069189 ISBN 13: 9781402069185
Verlag: Springer, 2008

Inhaltsangabe

This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.

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In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a big convexification of the graph of the multifunction and the minimax technique for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with a generalization of the Hahn-Banach theorem uniting classical functional analysis, minimax theory, Lagrange multiplier theory and convex analysis and culminates in a survey of current results on monotone multifunctions on a Banach space.

The first two chapters are aimed at students interested in the development of the basic theorems of functional analysis, which leads painlessly to the theory of minimax theorems, convex Lagrange multiplier theory and convex analysis. The remaining five chapters are useful for those who wish to learn about the current research on monotone multifunctions on (possibly non reflexive) Banach space.

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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
1402069189
ISBN 13 
9781402069185
Einband
Tapa blanda
Auflage
2
Anzahl der Seiten
264
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9789048116454: From Hahn-Banach to Monotonicity

Vorgestellte Ausgabe

ISBN 10:  9048116457 ISBN 13:  9789048116454
Verlag: Springer, 2008
Softcover