Positive Operators (eBook)

eBook Download: PDF

1985 | 1. Auflage
366 Seiten
Elsevier Science (Verlag)
978-0-08-087438-8 (ISBN)

Infos

Positive operators

Inhalt

Front Cover 1
Positive Operators 4
Copyright Page 5
Contents 8
Historical Foreword 10
Preface 12
Acknowledgments 14
List of Symbols 16
Chapter 1. The Order Structure of Positive Operators 18
1. Basic Properties of Positive Operators 18
2. Extensions of Positive Operators 37
3. Order Projections 46
4. Order Continuous Operators 59
5. Positive Linear Functionals 72
Chapter 2. Components, Homomorphisms, and Orthomorphisms 91
6. The Components of a Positive Operator 92
7. Lattice Homomorphisms 105
8. Orthomorphisms 123
Chapter 3. Topological Considerations 144
9. Topological Vector Spaces 144
10. Weak Topologies on Banach Spaces 166
11. Locally Convex-Solid Riesz Spaces 179
Chapter 4. Banach Lattices 191
12. Banach Lattices with Order Continuous Norms 191
13. Weak Compactness in Banach Lattices 217
14. Embedding Banach Spaces 232
15. Banach Lattices of Operators 265
Chapter 5. Compactness Properties of Positive Operators 283
16. Compact Operators 283
17. Weakly Compact Operators 300
18. L- and M-weakly Compact Operators 325
19. Dunford–Pettis Operators 350
References 368
Index 378

Produkt-Details

• Erscheint lt. Verlag: 8.10.1985
• Mitarbeit: Herausgeber (Serie): Charalambos D. Aliprantis, Owen Burkinshaw
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Technik
• ISBN-10: 0-08-087438-X / 008087438X
• ISBN-13: 978-0-08-087438-8 / 9780080874388