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
Publisher:ISBN 13: 9781470403850ISBN 10: 1470403854

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Interpolation of Weighted Banach Lattices; A Characterization of Relatively Decomposable Banach Lattices is written by Michael Cwikel and published by . It's available with International Standard Book Number or ISBN identification 1470403854 (ISBN 10) and 9781470403850 (ISBN 13).

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.