The Resource Convex Functions, Monotone Operators and Differentiability
Convex Functions, Monotone Operators and Differentiability
Resource Information
The item Convex Functions, Monotone Operators and Differentiability represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Convex Functions, Monotone Operators and Differentiability represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource
- 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
- Isbn
- 9783662215692
- Label
- Convex Functions, Monotone Operators and Differentiability
- Title
- Convex Functions, Monotone Operators and Differentiability
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Convex-Functions-Monotone-Operators-and/kNyLvaQ-avA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Convex-Functions-Monotone-Operators-and/kNyLvaQ-avA/">Convex Functions, Monotone Operators and Differentiability</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
