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Chapters in this book
- Frontmatter i
- Contents vii
- 1. Introduction 1
- 2. Ordered vector spaces and vector lattices 4
- 3. Finite, totally finite and selfmajorizing elements in Archimedean vector lattices 18
- 4. Finite elements in vector lattices of linear operators 69
- 5. The space of maximal ideals of a vector lattice 100
- 6. Topological characterization of finite elements 115
- 7. Representations of vector lattices and their properties 144
- 8. Vector lattices of continuous functions with finite elements 157
- 9. Representations of vector lattices by means of continuous functions 171
- 10. Representations of vector lattices by means of bases of finite elements 191
- List of Examples 207
- List of Symbols 209
- Bibliography 211
- Index 217
Chapters in this book
- Frontmatter i
- Contents vii
- 1. Introduction 1
- 2. Ordered vector spaces and vector lattices 4
- 3. Finite, totally finite and selfmajorizing elements in Archimedean vector lattices 18
- 4. Finite elements in vector lattices of linear operators 69
- 5. The space of maximal ideals of a vector lattice 100
- 6. Topological characterization of finite elements 115
- 7. Representations of vector lattices and their properties 144
- 8. Vector lattices of continuous functions with finite elements 157
- 9. Representations of vector lattices by means of continuous functions 171
- 10. Representations of vector lattices by means of bases of finite elements 191
- List of Examples 207
- List of Symbols 209
- Bibliography 211
- Index 217