Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices

Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / Michael Cwikel, Per G. Nilsson, Gideon Schechtman.

Interpolation of weighted Banach lattices, by Michael Cwikel and Per G. Nilsson: Introduction Definitions, terminology and preliminary results The main results A uniqueness theorem Two properties of the $K$-functional for a couple of Banach lattices Characterizations of couples which are uniformly C...

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Bibliographic Details
Main Author: Cwikel, M. (Michael), 1948-
Other Authors: Nilsson, Per G., 1955-, Schechtman, Gideon, 1947-
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 2003.
Series:Memoirs of the American Mathematical Society ; no. 787.
Subjects:
Banach lattices.
Interpolation.
Banach lattices
Interpolation
Online Access:Click for online access
Table of Contents:
  • Interpolation of weighted Banach lattices 0. Introduction 1. Definitions, terminology and preliminary results 2. The main results 3. A uniqueness theorem 4. Two properties of the $K$-functional for a couple of Banach lattices 5. Characterizations of couples which are uniformly Calderón-Mityagin for all weights 6. Some uniform boundedness principles for interpolation of Banach lattices 7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions A characterization of relatively decomposable Banach lattices 1. Introduction 2. Equal norm upper and lower $p$-estimates and some other preliminary results 3. Completion of the proof of the main theorem 4. Application to the problem of characterizing interpolation spaces.

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