Geodesic
Plus-Minus Property as a Generalization of the Daugavet Property
Serdica Mathematical Journal, Tome 35 (2010) no. 4, pp. 371-386.

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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.
Keywords: Daugavet Equation, Operator Norm, Unital Banach Algebra 
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     title = {Plus-Minus {Property} as a {Generalization} of the {Daugavet} {Property}},
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Shepelska, Varvara. Plus-Minus Property as a Generalization of the Daugavet Property. Serdica Mathematical Journal, Tome 35 (2010) no. 4, pp. 371-386. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_4_a2/