Two geometric constants for operators acting on a separable Banach space.

Martín Peinador, E., et al. "Two geometric constants for operators acting on a separable Banach space.." Revista Matemática de la Universidad Complutense de Madrid 1.1-2-3 (1988): 23-30. <http://eudml.org/doc/43226>.

@article{MartínPeinador1988,
abstract = {The main result of this paper is the following: A separable Banach space X is reflexive if and only if the infimum of the Gelfand numbers of any bounded linear operator defined on X can be computed by means of just one sequence on nested, closed, finite codimensional subspaces with null intersection.},
author = {Martín Peinador, E., Induráin, E., Plans Sanz de Bremond, A., Rodes Usan, A. A.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacios de Banach; Espacio reflexivo; Operadores; Espacio de Hilbert separable real; infimum of the Gelfand numbers of any bounded linear operator},
language = {eng},
number = {1-2-3},
pages = {23-30},
title = {Two geometric constants for operators acting on a separable Banach space.},
url = {http://eudml.org/doc/43226},
volume = {1},
year = {1988},
}

TY - JOUR
AU - Martín Peinador, E.
AU - Induráin, E.
AU - Plans Sanz de Bremond, A.
AU - Rodes Usan, A. A.
TI - Two geometric constants for operators acting on a separable Banach space.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1988
VL - 1
IS - 1-2-3
SP - 23
EP - 30
AB - The main result of this paper is the following: A separable Banach space X is reflexive if and only if the infimum of the Gelfand numbers of any bounded linear operator defined on X can be computed by means of just one sequence on nested, closed, finite codimensional subspaces with null intersection.
LA - eng
KW - Espacios de Banach; Espacio reflexivo; Operadores; Espacio de Hilbert separable real; infimum of the Gelfand numbers of any bounded linear operator
UR - http://eudml.org/doc/43226
ER -