Convex Functions, Monotone Operators and Differentiability

Resource Information

The work Convex Functions, Monotone Operators and Differentiability represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Convex Functions, Monotone Operators and Differentiability

Subject

• Convex functions
• Convex functions
• Convex functions
• Differentiable functions
• Differentiable functions
• Differentiable functions
• Monotone operators
• Monotone operators
• Monotone operators

Language

eng

Summary

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

Cataloging source

COO

Dewey number

515.7

Index

no index present

LC call number

• QA3
• QA331.5

Literary form

non fiction

Nature of contents

dictionaries