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Resumen de Note on the Haussdorft measure of noncompactiness

Manuel González Ortiz Árbol académico, Antonio Martinón Cejas Árbol académico

  • A result of R. Harte and A. Wick stead for Banach spaces is generalized in this note for families on a complete metric space in which is defined a set measure: if (xi) is a bounded family, then the set measure of its range {xi} agrees with the distance of (xi) to the set of all families with range of null set measure, in the the metric space of bounded families.

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