2. Ordered vector spaces and vector lattices

Chapters in this book

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