Note on the Haussdorft measure of noncompactiness

  1. González Ortiz, Manuel
  2. Martinón Cejas, Antonio
Revista:
Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

ISSN: 1130-4723

Any de publicació: 1990

Volum: 1

Número: 1

Pàgines: 119-123

Tipus: Article

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Altres publicacions en: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

Resum

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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