On Some Classical Banach Space Concepts in Operator Space Theory
type: CreativeWork
description: 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.
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.
author: Yew, Khye Loong
language: eng
keywords: Mathematics
date published: 2015-09-28T15:19:52Z
date modified: 2026-07-22T22:26:28Z
provider: University of Illinois - Urbana-Champaign
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Illinois at Urbana-Champaign

PropertyValue
property ID: Handle
value: http://hdl.handle.net/2142/86855