This is an announcement for the paper "Continuity properties of sequentially asymptotically center-complete spaces" by C. Angosto, M. C. Listan-Garcia, and F. Rambla-Barreno.

Abstract: We obtain formulae to calculate the asymptotic center and radius of bounded sequences in ${\cal C}_0(L)$ spaces. We also study the existence of continuous selectors for the asymptotic center map in general Banach spaces. In Hilbert spaces, even a H"older-type estimation is given.

Archive classification: math.FA

Mathematics Subject Classification: 41A50 (Primary) 46E15 (Secondary)

Submitted from: fernando.rambla@uca.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1403.4646

or

http://arXiv.org/abs/1403.4646