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Lattice structures on Banach spaces
About this Title
N. J. Kalton
Publication: Memoirs of the American Mathematical Society
Publication Year:
1993; Volume 103, Number 493
ISBNs: 978-0-8218-2557-0 (print); 978-1-4704-0070-5 (online)
DOI: https://doi.org/10.1090/memo/0493
MathSciNet review: 1145663
MSC: Primary 46B42; Secondary 46B04, 46E30
Table of Contents
Chapters
- 1. Introduction
- 2. Banach lattices and Köthe function spaces
- 3. Positive operators
- 4. The basic construction
- 5. Lower estimates on $P$
- 6. Reduction to the case of an atomic kernel
- 7. Complemented subspaces of Banach lattices
- 8. Strictly 2-concave and strictly 2-convex structures
- 9. Uniqueness of lattice structure
- 10. Isomorphic embeddings