Convex Functions, Monotone Operators and Differentiability.
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 thi...
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| Format: | eBook |
| Language: | English |
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New York :
Springer,
June 2008.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Convex functions on real Banach spaces
- Monotone operators, subdifferentials and Asplund spaces
- Lower semicontinuous convex functions
- A smooth variational principle and more about Asplund spaces
- Asplund spaces, the Radon-Nikodym property and optimization
- Gateaux differentiability spaces
- A generalization of monotone operators: Usco maps
- Notes and remarks.