Two geometric constant for operators acting on a separable Banach space

• Autores: Ana Plans, E. Martín, Alvaro Angel Rodés Usán, Esteban Induráin Eraso
• Localización: Revista matemática de la Universidad Complutense de Madrid, ISSN 0214-3577, Vol. 1, Nº 1-3, 1988, págs. 23-32
• Idioma: inglés
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• Resumen

  • The main result of this paper is the following: a separate 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 of nested, closed, finite condimensional subspaces with null intersections.