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Convex Functions, Monotone Operators and Differentiability

✍ Scribed by Robert R. Phelps (auth.)

Publisher: Springer Berlin Heidelberg
Year: 1989
Tongue: English
Leaves: 125
Series: Lecture Notes in Mathematics 1364
Category: Library

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✦ Table of Contents

Front Matter....Pages I-IX
Convex functions on real Banach spaces....Pages 1-16
Monotone operators, subdifferentials and Asplund spaces....Pages 17-39
Lower semicontinuous convex functions....Pages 40-63
A smooth variational principle and more about Asplund spaces....Pages 64-71
Asplund spaces, the Radon-Nikodym property and optimization....Pages 72-89
Gateaux differentiability spaces....Pages 90-96
A generalization of monotone operators: Usco maps....Pages 97-103
Notes and Remarks....Pages 104-107
Back Matter....Pages 108-118

✦ Subjects

Analysis

📜 SIMILAR VOLUMES

Convex Functions, Monotone Operators and

📁 Convex Functions, Monotone Operators and Differentiability

✍ Robert R. Phelps 📂 Library 📅 1989 🌐 English

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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✍ Robert R. Phelps (auth.) 📂 Library 📅 1989 🏛 Springer 🌐 English

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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✍ Robert R. Phelps (auth.) 📂 Library 📅 1989 🏛 Springer Berlin Heidelberg 🌐 English

Convex Functions, Monotone Operators and

📁 Convex Functions, Monotone Operators and Differentiability

✍ Robert R. Phelps (auth.) 📂 Library 📅 1993 🏛 Springer 🌐 English

The improved and expanded second edition contains expositions of some major results which have been obtained in the years since the 1st edition. Theaffirmative answer by Preiss of the decades old question of whether a Banachspace with an equivalent Gateaux differentiable norm is a weak Asplund space