Note on the Haussdorft measure of noncompactiness
- González Ortiz, Manuel
- Martinón Cejas, Antonio
ISSN: 1130-4723
Argitalpen urtea: 1990
Alea: 1
Zenbakia: 1
Orrialdeak: 119-123
Mota: Artikulua
Beste argitalpen batzuk: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum
Laburpena
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.