Note on the Haussdorft measure of noncompactiness

Autores: Manuel González Ortiz , Antonio Martinón Cejas
Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 1, Nº. 1, 1990, págs. 119-123
Idioma: español
Enlaces
- Texto completo
Resumen
- 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.