Introduction to operator theory in Riesz spaces /
The book deals with the structure of vector lattices, i.e, Riesz spaces, and Banach lattices, as well as with operators in these spaces. The methods used are kept as simple as possible
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| Format: | Book |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1997], ©1997
Berlin ; New York : c1997 Berlin ; New York : ©1997 Berlin ; New York : [1997] |
| Subjects: |
Table of Contents:
- Ch. 1. Lattices and Boolean Algebras
- Ch. 2. Riesz Spaces
- Ch. 3. Ideals, Bands and Disjointness
- Ch. 4. Archimedean Spaces and Convergence
- Ch. 5. Projections and Dedekind Completeness
- Ch. 6. Complex Riesz Spaces
- Ch. 7. Normed Riesz Spaces and Banach Lattices
- Ch. 8. The Riesz-Fischer Property and Order Continuous Norms
- Ch. 9. Linear Operators
- Ch. 10. Order Bounded Operators
- Ch. 11. Order Continuous Operators
- Ch. 12. Carriers of Operators
- Ch. 13. Order Duals and Adjoint Operators
- Ch. 14. Signed Measures and the Radon-Nikodym Theorem
- Ch. 15. Linear Functionals on Spaces of Measurable Functions
- Ch. 16. Embedding into the Bidual
- Ch. 17. Freudenthal's Spectral Theorem
- Ch. 18. Functional Calculas and Multiplication
- Ch. 19. Complex Operators
- Ch. 20. Results with the Hahn-Banach Theorem
- Ch. 21. Spectrum, Resolvent Set and the Krein-Rutman Theorem
- Ch. 22. Spectral Theory of Positive Operators
- Ch. 1 Lattices and Boolean Algebras
- Ch. 2. Riesz Spaces
- Ch. 3. Ideals, Bands and Disjointness
- Ch. 4. Archimedean Spaces and Convergence
- Ch. 5. Projections and Dedekind Completeness
- Ch. 6. Complex Riesz Spaces
- Ch. 7. Normed Riesz Spaces and Banach Lattices
- Ch. 8. The Riesz-Fischer Property and Order Continuous Norms
- Ch. 9. Linear Operators
- Ch. 10. Order Bounded Operators
- Ch. 11. Order Continuous Operators
- Ch. 12. Carriers of Operators
- Ch. 13. Order Duals and Adjoint Operators
- Ch. 14. Signed Measures and the Radon-Nikodym Theorem
- Ch. 15. Linear Functionals on Spaces of Measurable Functions
- Ch. 16. Embedding into the Bidual
- Ch. 17. Freudenthal's Spectral Theorem
- Ch. 18. Functional Calculas and Multiplication
- Ch. 19. Complex Operators
- Ch. 20. Results with the Hahn-Banach Theorem
- Ch. 21. Spectrum, Resolvent Set and the Krein-Rutman Theorem
- Ch. 22. Spectral Theory of Positive Operators.