# Plus-Minus Property as a Generalization of the Daugavet Property

Serdica Mathematical Journal (2010)

- Volume: 35, Issue: 4, page 371-386
- ISSN: 1310-6600

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topShepelska, Varvara. "Plus-Minus Property as a Generalization of the Daugavet Property." Serdica Mathematical Journal 35.4 (2010): 371-386. <http://eudml.org/doc/281521>.

@article{Shepelska2010,

abstract = {2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.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.},

author = {Shepelska, Varvara},

journal = {Serdica Mathematical Journal},

keywords = {Daugavet Equation; Operator Norm; Unital Banach Algebra; Daugavet equation; operator norm; unital Banach algebra},

language = {eng},

number = {4},

pages = {371-386},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Plus-Minus Property as a Generalization of the Daugavet Property},

url = {http://eudml.org/doc/281521},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Shepelska, Varvara

TI - Plus-Minus Property as a Generalization of the Daugavet Property

JO - Serdica Mathematical Journal

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 35

IS - 4

SP - 371

EP - 386

AB - 2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.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.

LA - eng

KW - Daugavet Equation; Operator Norm; Unital Banach Algebra; Daugavet equation; operator norm; unital Banach algebra

UR - http://eudml.org/doc/281521

ER -

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