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Author Paulsen, Vern I. ♦ Raghupathi, Mrinal
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-06-02
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Operator Algebras ♦ Mathematics - Functional Analysis ♦ 47L55 ♦ 47A67 ♦ 47A20 ♦ math
Abstract We study the question of whether or not contractive representations of logmodular algebras are completely contractive. We prove that a 2-contractive representation of a logmodular algebra extends to a positive map on the enveloping C*-algebra, which we show generalizes a result of Foias and Suciu on uniform logmodular algebras. Our proof uses non-commutative operator space generalizations of classical results on 2-summing maps and semispectral measures. We establish some matrix factorization results for uniform logmodular algebras
Educational Use Research
Learning Resource Type Article
Page Count 14


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