Book Search:  

 

 
Google full text of our books:

bookjacket

Selectors
John E. Jayne & C. Ambrose Rogers

Book Description

TABLE OF CONTENTS:

Preface vii
Introduction ix
Chapter 1. Classical results 1
1.1 Michael's Continuous Selection Theorem 1
1.2 Results of Kuratowski and Ryll-Nardzewski 8
1.3 Remarks 13
Chapter 2. Functions that are constant on the sets of a disjoint discretely o-decomposable family of Fs-sets 19
2.1 Discretely o-Decomposable Partitions of a Metric Space 19
2.2 Functions of the First Borel and Baire Classes 25
2.3 When is a Function of the First Borel Class also of the First Baire Class? 39
2.4 Remarks 42
Chapter 3. Selectors for upper semi-continuous functions with non-empty compact values 43
3.1 A General Theorem 45
3.2 Special Theorems 53
3.3 Minimal Upper Semi-continuous Set-valued Maps 53
3.4 Remarks 57
Chapter 4. Selectors for compact sets 65
4.1 A Special Theorem 67
4.2 A General Theorem 69
4.3 Remarks 88
Chapter 5. Applications 91
5.1 Monotone Maps and Maximal Monotone Maps 95
5.2 Subdifferential Maps 101
5.3 Attainment Maps from X* to X 106
5.4 Attainment Maps from X to X* 107
5.5 Metric Projections or Nearest Point Maps 108
5.6 Some Selections into Families of Convex Sets 110
5.7 Example 118
5.8 Remarks 122
Chapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary 123
6.1 Diagonal Lemmas 124
6.2 Selection Theorems 127
6.3 A Selection Theorem for Lower Semi-continuous Set-valued Maps 138
6.4 Example 140
6.5 Remarks 144
Chapter 7. Further applications 147
7.1 Boundary Lemmas 149
7.2 Duals of Asplund Spaces 151
7.3 A Partial Converse to Theorem 5.4 156
7.4 Remarks 159
Bibliography 161
Index 165

Return to Book Description

File created: 4/17/2014

Questions and comments to: webmaster@press.princeton.edu
Princeton University Press

New Book E-mails
New In Print
PUP Blog
Videos/Audios
Princeton APPS
Sample Chapters
Subjects
Series
Catalogs
Textbooks
For Reviewers
Class Use
Rights
Permissions
Ordering
Recent Awards
Princeton Shorts
Freshman Reading
PUP Europe
About Us
Contact Us
Links
F.A.Q.
MATH SITE
PUP Home


Bookmark and Share