𝔖 Scriptorium

✦ LIBER ✦

📁

Convex Functions, Monotone Operators and Differentiability

✍ Scribed by Robert R. Phelps

Publisher: Springer
Year: 1993
Tongue: English
Leaves: 127
Series: Lecture Notes in Mathematics 1364
Edition: 2nd
Category: Library

⬇ Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 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

Convex Functions, Monotone Operators and

📁 Convex Functions, Monotone Operators and Differentiability

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

Convex Functions, Monotone Operators and

📁 Convex Functions, Monotone Operators and Differentiability

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

Convex Functions, Monotone Operators and

📁 Convex Functions, Monotone Operators and Differentiability

✍ 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

Convex Functions, Monotone Operators and

📁 Convex Functions, Monotone Operators and Differentiability

✍ 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