Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


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

PDF View full volume as PDF

Read more about this volume

View other years and numbers:

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