Author | Lacey, H. Elton. author |
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Title | The Isometric Theory of Classical Banach Spaces [electronic resource] / by H. Elton Lacey |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1974 |
Connect to | http://dx.doi.org/10.1007/978-3-642-65762-7 |
Descript | X, 272 p. online resource |
1. Partially Ordered Banach Spaces -- ยง 1. Vector Lattices -- ยง 2. Partially Ordered Normed Linear Spaces -- ยง 3. Normed Linear Lattices -- 2. Some Aspects of Topology and Regular Borel Measures -- ยง 4. Existence Theorems for Continuous Functions -- ยง 5. Dispersed Compact Hausdorff Spaces -- ยง 6. The Cantor Set -- ยง 7. Extremally Disconnected Compact Hausdorff Spaces -- ยง 8. Regular Borel Measures -- 3. Characterizations of Banach Spaces of Continuous Functions -- ยง 9. Lattice and Algebraic Characterizations of Banach Spaces of Continuous Functions -- ยง 10. Banach Space Characterizations of Spaces of Continuous Functions -- ยง 11. Banach Spaces with the Hahn-Banach Extension Property -- 4. Classical Sequence Spaces -- ยง 12. Schauder Bases in Classical Sequence Spaces -- ยง 13. Embedding of Classical Sequence Spaces into Continuous Function Spaces -- 5. Representation Theorems for Spaces of the Type Lp(T, ?, ยต, ?) -- ยง 14. Measure Algebras and the Representation of Lp(T, ?, ยต, ?) when ยต a Finite Measure -- ยง 15. Abstract Lp Spaces -- 6. Characterizations of Abstract M and Lp Spaces -- ยง 16. Positive Contractive Projections in Abstract M and Lp Spaces -- ยง 17. Contractive Projections in Abstract Lp Spaces -- ยง 18. Geometric Properties of Abstract L1 Spaces and Some Dual Abstract L1 Spaces -- 7. L1-Predual Spaces -- ยง 19. Partially Ordered L1-Predual Spaces -- ยง 20. Compact Choquet Simplexes -- ยง 21. Characterizations of Real L1-Predual Spaces -- ยง 22. Some Selection and Embedding Theorems for Real L1-Predual Spaces -- ยง 23. Characterizations of Complex L1-Predual Spaces