6533b852fe1ef96bd12aac5e

RESEARCH PRODUCT

A characterization of the Schur property through the disk algebra

Enrique JordáManuel MaestreDomingo García

subject

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

description

[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.

yearjournalcountryeditionlanguage
2017-01-15
10.1016/j.jmaa.2016.01.028https://dx.doi.org/10.1016/j.jmaa.2016.01.028