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The Resource Convex Functions, Monotone Operators and Differentiability

Convex Functions, Monotone Operators and Differentiability

Label
Convex Functions, Monotone Operators and Differentiability
Title
Convex Functions, Monotone Operators and Differentiability
Subject
Language
eng
Summary
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
Cataloging source
COO
Dewey number
515.7
Index
no index present
LC call number
  • QA3
  • QA331.5
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Convex functions
  • Monotone operators
  • Differentiable functions
  • Convex functions
  • Differentiable functions
  • Monotone operators
Label
Convex Functions, Monotone Operators and Differentiability
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
466107633
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9783662215692
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)466107633
Label
Convex Functions, Monotone Operators and Differentiability
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
466107633
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9783662215692
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)466107633

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