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The Resource Convex functions, monotone operators, and differentiability, Robert R. Phelps

Convex functions, monotone operators, and differentiability, Robert R. Phelps

Label
Convex functions, monotone operators, and differentiability
Title
Convex functions, monotone operators, and differentiability
Statement of responsibility
Robert R. Phelps
Creator
Subject
Language
eng
Summary
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. The startlingly simple proof by Simons of Rockafellar's fundamental maximal monotonicity theorem for subdifferentials of convex functions. The exciting new version of the useful Borwein-Preiss smooth variational principle due to Godefroy, Deville and Zizler. The material is accessible to students who have had a course in Functional Analysis; indeed, the first edition has been used in numerous graduate seminars. Starting with convex functions on the line, it 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. While much of this is classical, streamlined proofs found more recently are given in many instances. There are numerous exercises, many of which form an integral part of the exposition
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1926-2013
http://library.link/vocab/creatorName
Phelps, Robert R.
Dewey number
515.7
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA331.5
LC item number
.L28 no. 1364 1993
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1364
http://library.link/vocab/subjectName
  • Convex functions
  • Monotone operators
  • Differentiable functions
  • Convex functions
  • Differentiable functions
  • Monotone operators
  • Konvexe Funktion
  • Differenzierbarkeit
  • Monotoner Operator
Label
Convex functions, monotone operators, and differentiability, Robert R. Phelps
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 110-114) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
288913453
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (ix, 116 pages)
Form of item
online
Isbn
9783540460770
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)288913453
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Convex functions, monotone operators, and differentiability, Robert R. Phelps
Publication
Bibliography note
Includes bibliographical references (pages 110-114) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
288913453
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (ix, 116 pages)
Form of item
online
Isbn
9783540460770
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)288913453
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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