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Title:On Some Classical Banach Space Concepts in Operator Space Theory
Author(s):Yew, Khye Loong
Doctoral Committee Chair(s):Junge, Marius
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:For the second project, Junge and Xu independently demonstrated recently that the nth-dimensional operator Hilbert space OHn is a subspace of an operator space which is completely isomorphic to a completely complemented subspace of a non-commutative Lp space over a QWEP separable type III factor. Using this, we proved that the completely p-summing norm of the identity map on OHn is bounded by n1+2p -1lnn up to constants independent of 1 < p < 2. An application to the completely (2, p)-mixing constant of OHn is given.
Issue Date:2005
Type:Text
Language:English
Description:126 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.
URI:http://hdl.handle.net/2142/86855
Other Identifier(s):(MiAaPQ)AAI3199185
Date Available in IDEALS:2015-09-28
Date Deposited:2005


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