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

E. Martín PeinadorE. InduráinA. Plans Sanz de BremondA. A. Rodes Usan — 1988

Revista Matemática de la Universidad Complutense de Madrid

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.

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