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A Banach space operator is called a Dieudonné operator if it maps weakly Cauchy sequences to weakly convergent sequences. A space E is said to have property (D) if, whenever K is a compact Hausdorff space and T is an operator from C(K,E) int[...]texto impreso
The paper contains a technical but useful theorem about stratification of semianalytic setstexto impreso
Villanueva, Ignacio ; Cabello Sánchez, Félix ; García Herrera, Ricardo | Polish Academy of Sciences | 2000We show that a separable Banach space X has the Schur property if and only if every separately compact bilinear application from X into c0 is completely continuous, thus answering a question raised by Pe?czy?ski.texto impreso
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The author generalizes some results of Ball concerning the relationship between the shape of a locally compact metrizable space with compact components and the shape of its components. The following results are proved. Let X and Y be locally com[...]texto impreso
The author generalizes on metric spaces a Borsuk’s theorem that a compact space X all whose components are movable is also movable
