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Title: Plus-Minus Property as a Generalization of the Daugavet Property
Authors: Shepelska, Varvara
Keywords: Daugavet Equation
Operator Norm
Unital Banach Algebra
Issue Date: 2010
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 35, No 4, (2010), 371p-386p
Abstract: It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to the equation ||I − T|| = ||I+T||. We study if the spaces where the latter condition is satisfied for every finite-rank operator inherit the properties of Daugavet spaces.
Description: 2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.
ISSN: 1310-6600
Appears in Collections:Volume 36, Number 4

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