University of Illinois Urbana-Champaign

On Some Classical Banach Space Concepts in Operator Space Theory

Yew, Khye Loong

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Description

Title
On Some Classical Banach Space Concepts in Operator Space Theory
Author(s)
Yew, Khye Loong
Issue Date
2005
Doctoral Committee Chair(s)
Junge, Marius
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
Graduation Semester
2005
Type of Resource
text
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http://hdl.handle.net/2142/86855

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