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pdfebooks100re - From Hahn-Banach to Monotonicity
یکشنبه 20 شهریور 1390  01:31 ق.ظ
توسط: Johan Kemp

From Hahn-Banach to Monotonicity




Author: Stephen Simons
Type: eBook
Date Released: 2008
Format: pdf
Language: English
Page Count: 264
Isbn10 Code: 1402069189
Isbn13 Code: 9781402069185


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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