Coverart for item
The Resource From Hahn-Banach to monotonicity, Stephen Simons

From Hahn-Banach to monotonicity, Stephen Simons

Label
From Hahn-Banach to monotonicity
Title
From Hahn-Banach to monotonicity
Statement of responsibility
Stephen Simons
Creator
Contributor
Subject
Language
eng
Summary
In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique"for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with a generalization of the Hahn-Banach theorem uniting classical functional analysis, minimax theory, Lagrange multiplier theory and convex analysis and culminates in a survey of current results on monotone multifunctions on a Banach space. The first two chapters are aimed at students interested in the development of the basic theorems of functional analysis, which leads painlessly to the theory of minimax theorems, convex Lagrange multiplier theory and convex analysis. The remaining five chapters are useful for those who wish to learn about the current research on monotone multifunctions on (possibly non reflexive) Banach space
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Simons, S
Dewey number
515.7248
Illustrations
illustrations
Index
index present
LC call number
  • QA329.8
  • QA3
LC item number
  • .S58 2008eb
  • .L28 no. 1693 2008
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Simons, S
Series statement
Lecture notes in mathematics,
Series volume
1693
http://library.link/vocab/subjectName
  • Monotone operators
  • Monotonic functions
  • Maxima and minima
  • Duality theory (Mathematics)
  • Banach spaces
  • Maxima and minima
  • Duality theory (Mathematics)
  • Banach spaces
  • Monotone operators
  • Monotonic functions
  • Banach spaces
  • Duality theory (Mathematics)
  • Maxima and minima
  • Monotone operators
  • Monotonic functions
Label
From Hahn-Banach to monotonicity, Stephen Simons
Instantiates
Publication
Note
"These notes are somewhere between a sequel to and a new edition of [Minimax and monotonicity, c1998]"--Page viii
Bibliography note
Includes bibliographical references (pages 233-238) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
36. Subclasses of the maximally monotone multifunctions -- 37. First application of Theorem 35.8: type (D) implies type (FP) -- 38. TCLB(E), TCLBN(B) and type (ED) -- 39. Second application of Theorem 35.8: type (ED) implies type (FPV) -- 40. Second applications of Theorem 35.8: type (ED) implies strong -- 41. Strong maximality and coercivity -- 42. Type (ED) implies type (ANA) and type (BR) -- 43. The closure of the range -- 44. The sum problem and the closure of the domain -- 45. The biconjugate of a maximum TCLB(E**) -- 46. Maximally monotone multifunctions with convex graph -- 47. Possibly discontinuous positive linear operators -- 48. Subtler properties of subdifferentials -- 49. Saddle functions and type (ED) -- VII. The sum problem for general Banach spaces -- 50. Introductory comments -- 51. Voisei's theorem -- 52. Sums with normality maps -- 53. A theorem of Verona-Verona
Control code
233972679
Dimensions
unknown
Edition
2nd, expanded ed.
Extent
1 online resource (xiv, 244 pages)
Form of item
online
Isbn
9781402069185
Lccn
2007942159
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4020-6918-5
Specific material designation
remote
System control number
(OCoLC)233972679
Label
From Hahn-Banach to monotonicity, Stephen Simons
Publication
Note
"These notes are somewhere between a sequel to and a new edition of [Minimax and monotonicity, c1998]"--Page viii
Bibliography note
Includes bibliographical references (pages 233-238) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
36. Subclasses of the maximally monotone multifunctions -- 37. First application of Theorem 35.8: type (D) implies type (FP) -- 38. TCLB(E), TCLBN(B) and type (ED) -- 39. Second application of Theorem 35.8: type (ED) implies type (FPV) -- 40. Second applications of Theorem 35.8: type (ED) implies strong -- 41. Strong maximality and coercivity -- 42. Type (ED) implies type (ANA) and type (BR) -- 43. The closure of the range -- 44. The sum problem and the closure of the domain -- 45. The biconjugate of a maximum TCLB(E**) -- 46. Maximally monotone multifunctions with convex graph -- 47. Possibly discontinuous positive linear operators -- 48. Subtler properties of subdifferentials -- 49. Saddle functions and type (ED) -- VII. The sum problem for general Banach spaces -- 50. Introductory comments -- 51. Voisei's theorem -- 52. Sums with normality maps -- 53. A theorem of Verona-Verona
Control code
233972679
Dimensions
unknown
Edition
2nd, expanded ed.
Extent
1 online resource (xiv, 244 pages)
Form of item
online
Isbn
9781402069185
Lccn
2007942159
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4020-6918-5
Specific material designation
remote
System control number
(OCoLC)233972679

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