02776nam 2200601 450 991078885020332120170822144135.01-4704-0385-4(CKB)3360000000464971(EBL)3114528(SSID)ssj0000973241(PQKBManifestationID)11514567(PQKBTitleCode)TC0000973241(PQKBWorkID)10959035(PQKB)11679278(MiAaPQ)EBC3114528(RPAM)13180597(PPN)195416732(EXLCZ)99336000000046497120030430h20032003 uy| 0engur|n|---|||||txtccrInterpolation of weighted Banach lattices a characterization of relatively decomposable Banach lattices /Michael Cwikel, Per G. Nilsson, Gideon SchechtmanProvidence, Rhode Island :American Mathematical Society,[2003]©20031 online resource (142 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 787"Volume 165, number 787 (end of volume)."0-8218-3382-0 Includes bibliographical references.""Table of Contents""; ""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 Calderon-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""; ""References""""A characterization of relatively decomposable Banach lattices""""1. Introduction""; ""2. Equal norm upper and lower pâ€?estimates and some other preliminary results""; ""3. Completion of the proof of the main theorem""; ""4. Application to the problem of characterizing interpolation spaces""; ""References""Memoirs of the American Mathematical Society ;no. 787.Banach latticesInterpolationBanach lattices.Interpolation.510 s515/.732Cwikel M(Michael),1948-60440Cwikel M(Michael),1948-60440Nilsson Per G.1955-Schechtman Gideon1947-MiAaPQMiAaPQMiAaPQBOOK9910788850203321Interpolation of weighted Banach lattices3836116UNINA