On Some Classical Banach Space Concepts in Operator Space Theory

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Yew, Khye Loong

Contributors dc:contributor

• Junge, Marius

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3199185

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86855