Plus-Minus Property as a Generalization of the Daugavet Property

Shepelska, 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 -