Interpolation of Weighted Banach Lattices

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Interpolation of Weighted Banach Lattices by Cwikel, M.; Nilsson, Per G.; Schechtman, Gideon, 9780821833827
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  • ISBN: 9780821833827 | 0821833820
  • Cover: Paperback
  • Copyright: 9/1/2003

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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
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