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A characterization of the Schur property through the disk algebra

2017

[EN] In this paper we give a new characterization of when a Banach space E has the Schur property in terms of the disk algebra. We prove that E has the Schur property if and only if A(D, E) = A(D,E-w). (C) 2016 Elsevier Inc. All rights reserved.

Discrete mathematicsPure mathematicsMathematics::CombinatoricsBanach spaceApplied Mathematics010102 general mathematicsSchur's lemmaSchur algebra01 natural sciencesSchur's theoremSchur polynomialSchur propertySchur decomposition0103 physical sciencesSchur complement010307 mathematical physics0101 mathematicsDisk algebraMathematics::Representation TheoryMATEMATICA APLICADAAnalysisDisk algebraMathematicsSchur product theorem
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