Convex functions, monotone operators and differentiability

Convex functions, monotone operators and differentiability
Автор
 
Год
 
Страниц
 
123
ISBN
 
ISBN10:0387507353
Издатель
 
Springer

Описание:

These notes start with an introduction to the differentiability of convex functions on Banach spaces, leading to the study of Asplund spaces and their intriguing relationship to monotone operators (and more general set-values maps) and Banach spaces with the Radon-Nikodym property. While much of this is classical, some of it is presented using streamlined proofs which were not available until recently. Considerable attention is paid to contemporary results on variational principles and perturbed optimization in Banach spaces, exhibiting their close connections with Asplund spaces. An introductory course in functional analysis is adequate background for reading these notes which can serve as the basis for a seminar of a one-term graduate course. There are numerous excercises, many of which form an integral part of the exposition.

Похожие книги

Introduction to tensor products of Banach spacesIntroduction to tensor products of Banach spaces
Автор: Raymond A. Ryan
Год: 2002
Banach ManifoldBanach Manifold
Год: 2011
Banach BundleBanach Bundle
Год: 2011
Four Non-linear Problems on Normed SpacesFour Non-linear Problems on Normed Spaces
Автор: Francisco Garcia Pacheco
Год: 2010