Interpolation of weighted Banach lattices ; [electronic resource] A characterization of relatively decomposable Banach lattices / Michael Cwikel, Per G. Nilsson, Gideon Schechtman.
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TextSeries: Memoirs of the American Mathematical Society ; v. 787Publication details: Providence, R.I. : American Mathematical Society, 2003Description: 1 online resource (v, 127 p. : ill.)ISBN: 9781470403850 (online)Contained works: Cwikel, M. 1948- Characterization of relatively decomposable Banach latticesSubject(s): Banach lattices | InterpolationAdditional physical formats: Interpolation of weighted Banach lattices ;DDC classification: 510 s | 515/.732 LOC classification: QA3 | .A57 no. 787 | QA326Online resources: Contents | Contents 
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"Volume 165, number 787 (end of volume)."
Includes bibliographical references.
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 Calder�on-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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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