Fixed point free maps of a closed ball with small measures of noncompactness

Autores: Martin Väth
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 52, Fasc. 2, 2001, págs. 101-116
Idioma: inglés
Títulos paralelos:
- Mapas libres de puntos fijos de una bola cerrada con pequeñas medidas de no compacidad
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Resumen
- We show that in all infinite-dimensional normed spaces it is possible to construct a fixed point free continuous map of the unit ball whose measure of noncompactness is bounded by 2. Moreover, for a large class of spaces (containing separable spaces, Hilbert spaces and l-infinity (S)) even the best possible bound 1 is attained for certain measures of noncompactness.