Two geometric constants for operators acting on a separable Banach space.
Martín Peinador, E. ; Induráin, E. ; Plans Sanz de Bremond, A. ; Rodes Usan, A. A.
Revista Matemática de la Universidad Complutense de Madrid, Tome 1 (1988), p. 23-30 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1988-01-01
DMLE-ID : 577 
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     title = {Two geometric constants for operators acting on a separable Banach space.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {1},
     year = {1988},
     pages = {23-30},
     zbl = {0668.47018},
     mrnumber = {MR0977039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43226}
}

Martín Peinador, E.; Induráin, E.; Plans Sanz de Bremond, A.; Rodes Usan, A. A. Two geometric constants for operators acting on a separable Banach space.. Revista Matemática de la Universidad Complutense de Madrid, Tome 1 (1988) pp. 23-30. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43226/