Convex functions, monotone operators and differentiability
Author(s)
Bibliographic Information
Convex functions, monotone operators and differentiability
(Lecture notes in mathematics, 1364)
Springer-Verlag, c1989
- : gw
- : us
Available at / 72 libraries
-
Library & Science Information Center, Osaka Prefecture University
: gwNDC8:410.8||||10009557021
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||13648903068S
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwDC19:510/L4972070112426
-
No Libraries matched.
- Remove all filters.
Note
Bibliography: p. [108]-112
Includes index
Description and Table of Contents
Description
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.
by "Nielsen BookData"