[Banach] Abstract of a paper by Vladimir P. Fonf and Clemente Zanco

This is an announcement for the paper "Almost overcomplete and almost overtotal sequences in Banach spaces" by Vladimir P. Fonf and Clemente Zanco. Abstract: The new concepts are introduced of almost overcomplete sequence in a Banach space and almost overtotal sequence in a dual space. We prove that any of such sequences is relatively norm-compact and we obtain several applications of this fact. Archive classification: math.FA Mathematics Subject Classification: 46B20, 46B50, 46B45 Submitted from: clemente.zanco@unimi.it The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1402.6247 or http://arXiv.org/abs/1402.6247