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Science/Engineering From Hahn-Banach to Monotonicity, 2nd Edition

Posted on 2010-03-15




Name:Science/Engineering From Hahn-Banach to Monotonicity, 2nd Edition
ASIN/ISBN:1402069189
Language:English
File size:1.6 Mb
Publish Date: 2008-03
ISBN: 1402069189
Pages: 248 pages
File Type: PDF
File Size: 1,6 MB
Other Info: Springer
   Science/Engineering From Hahn-Banach to Monotonicity, 2nd Edition

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Stephen Simons, "From Hahn-Banach to Monotonicity"

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 techniquefor 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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