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math.FA2019
Weak compactness and fixed point property for affine bi-Lipschitz maps
Cleon S. Barroso, Valdir Ferreira
Let be a Banach space and let be a closed convex bounded subset of . It is proved that is weakly compact if, and only if, has the {it generic} fixed point proper…
math.FA2019
Selection type results and fixed point property for affine bi-Lipschitz maps
Cleon S. Barroso, Torrey M. Gallagher
We obtain a refinement of a selection principle for -wide- sequences in Banach spaces due to Rosenthal. This result is then used to show that if is a bou…
math.FA2019
A note on asymptotically monotone basic sequences and well-separated sets
Cleon S. Barroso
We remark that if is an infinite dimensional Banach space then every seminormalized weakly null sequence in has an asymptotic monotone basic subsequence. We also observe th…