Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA320. FCT 95757 (Browse shelf) | 1 | Available |
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QA320. FCT 95575 Réarrangement relatif | QA320. FCT 95710 Recent advances in matrix and operator theory | QA320. FCT 95715 Representation theory and complex analysis | QA320. FCT 95757 From Hahn-Banach to monotonicity | QA320. FCT 95762 Linear functional analysis | QA320. FCT 95922 Geometric aspects of functional analysis | QA320. FCT 95970 Calculus on normed vector spaces |
Colocação: Online
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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