Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103573
Title: More mixed tsirelson spaces that are not isomorphic to their modified versions
Authors: Leung, D.H. 
Tang, W.-T.
Issue Date: 2008
Citation: Leung, D.H.,Tang, W.-T. (2008). More mixed tsirelson spaces that are not isomorphic to their modified versions. Illinois Journal of Mathematics 52 (1) : 17-46. ScholarBank@NUS Repository.
Abstract: The class of mixed Tsirelson spaces is an important source of examples in the recent development of the structure theory of Banach spaces. The related class of modified mixed Tsirelson spaces has also been well studied. In the present paper, we investigate the problem of comparing isomorphically the mixed Tsirelson space T[(Sn, θn)∞ n=1] and its modified version TM[(Sn, θn)∞ n=1]. It is shown that these spaces are not isomorphic for a large class of parameters (θn). © 2009 University of Illinois.
Source Title: Illinois Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103573
ISSN: 00192082
Appears in Collections:Staff Publications

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