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Convex Functions, Monotone Operators and Differentiability
Phelps, Robert R.. Illus: McIntyre, D.
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Description for Convex Functions, Monotone Operators and Differentiability
Paperback. Starting with convex functions on the line, this title leads to interconnected topics in convexity, differentiability and subdifferentiability of convex functions in Banach spaces, generic continuity of monotone operators, geometry of Banach spaces and the Radon-Nikodym property, convex analysis, variational principles and perturbed optimization. Illustrator(s): McIntyre, D. Series: Lecture Notes in Mathematics. Num Pages: 132 pages, biography. BIC Classification: PBKF; PSAJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 7. Weight in Grams: 209.
In the three and a half years since the first edition to these notes was written there has been progress on a number of relevant topics. D. Preiss answered in the affirmative the decades old question of whether a Banach space with an equivalent Gateaux differentiable norm is a weak Asplund space, while R. Haydon constructed some very ingenious examples which show, among other things, that the converse to Preiss' theorem is false. S. Simons produced a startlingly simple proof of Rockafellar's maximal monotonicity theorem for subdifferentials of convex functions. G. Godefroy, R. Deville and V. Zizler proved an exciting ... Read more
In the three and a half years since the first edition to these notes was written there has been progress on a number of relevant topics. D. Preiss answered in the affirmative the decades old question of whether a Banach space with an equivalent Gateaux differentiable norm is a weak Asplund space, while R. Haydon constructed some very ingenious examples which show, among other things, that the converse to Preiss' theorem is false. S. Simons produced a startlingly simple proof of Rockafellar's maximal monotonicity theorem for subdifferentials of convex functions. G. Godefroy, R. Deville and V. Zizler proved an exciting ... Read more
Product Details
Format
Paperback
Publication date
1993
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
132
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
120
Place of Publication
Berlin, Germany
ISBN
9783540567158
SKU
V9783540567158
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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