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

E. Martín Peinador; E. Induráin; A. Plans Sanz de Bremond; A. A. Rodes Usan

Revista Matemática de la Universidad Complutense de Madrid (1988)

- Volume: 1, Issue: 1-2-3, page 23-30
- ISSN: 1139-1138

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topMartín 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 -

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