9780821833827

Interpolation of Weighted Banach Lattices: A Characterization of Relatively Decomposable Banach Lattices

by ; ;
  • ISBN13:

    9780821833827

  • ISBN10:

    0821833820

  • Format: Paperback
  • Copyright: 2003-09-01
  • Publisher: Amer Mathematical Society

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Summary

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 Calderon-Mityagin for all weights Some uniform boundedness principles for interpolation of Banach lattices Appendix: Lozanovskii's formula for general Banach lattices of measurable functions References A characterization of relatively decomposable Banach lattices, by Michael Cwikel, Per G. Nilsson and Gideon Schechtman: Introduction Equal norm upper and lower $p$-estimates and some other preliminary results Completion of the proof of the main theorem Application to the problem of characterizing interpolation spaces References

Table of Contents

Interpolation of weighted Banach lattices
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
Calderon-Mityagin for all weights
Some uniform boundedness principles for interpolation of Banach lattices
Appendix: Lozanovskii's formula for general Banach lattices of measurable functions
References
A characterization of relatively decomposable Banach lattices
Introduction Equal norm upper and lower $p$-estimates and some other preliminary results
Completion of the proof of the main theorem
Application to the problem of characterizing interpolation spaces
References
Table of Contents provided by Publisher. All Rights Reserved.

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