From Hahn-Banach to Monotonicity

Paperback Engels 2008 2e druk 9781402069185
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Samenvatting

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.

Specificaties

ISBN13:9781402069185
Taal:Engels
Bindwijze:paperback
Aantal pagina's:248
Uitgever:Springer Netherlands
Druk:2

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Inhoudsopgave

The Hahn-Banach-Lagrange theorem and some consequences.- Fenchel duality.- Multifunctions, SSD spaces, monotonicity and Fitzpatrick functions.- Monotone multifunctions on general Banach spaces.- Monotone multifunctions on reflexive Banach spaces.- Special maximally monotone multifunctions.- The sum problem for general Banach spaces.- Open problems.- Glossary of classes of multifunctions.- A selection of results.

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€ 60,99
Levertijd ongeveer 9 werkdagen
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        From Hahn-Banach to Monotonicity