6533b82afe1ef96bd128c885
RESEARCH PRODUCT
Sigma-fragmentability and the property SLD in C(K) spaces
J.f. Martínezsubject
Countable cover by sets of small local diameterRosenthal compactaRenormingsσ-fragmentabilitydescription
AbstractWe characterize two topological properties in Banach spaces of type C(K), namely, being σ-fragmented by the norm metric and having a countable cover by sets of small local norm-diameter (briefly, the property norm-SLD). We apply our results to deduce that Cp(K) is σ-fragmented by the norm metric when K belongs to a certain class of Rosenthal compacta as well as to characterize the property norm-SLD in Cp(K) in case K is scattered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| Topology and its Applications |