TY - BOOK AU - Cwikel,M. AU - Nilsson,Per G. AU - Schechtman,Gideon AU - Cwikel,M. TI - Interpolation of weighted Banach lattices: A characterization of relatively decomposable Banach lattices T2 - Memoirs of the American Mathematical Society, SN - 9781470403850 (online) AV - QA3QA326 .A57 no. 787 U1 - 510 s515/.732 21 PY - 2003/// CY - Providence, R.I. PB - American Mathematical Society KW - Banach lattices KW - Interpolation N1 - "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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0787 UR - http://dx.doi.org/10.1090/memo/0787 ER -