17 Dec
2012
17 Dec
'12
2:39 p.m.
This is an announcement for the paper "Covering $L^p$ spaces by balls" by Vladimir P. Fonf, Michael Levin and Clemente Zanco.
Abstract: We prove that, given any covering of any separable infinite-dimensional uniformly rotund and uniformly smooth Banach space $X$ by closed balls each of positive radius, some point exists in $X$ which belongs to infinitely many balls.
Archive classification: math.FA math.GN
Mathematics Subject Classification: Primary 46B20, Secondary 54D20
Submitted from: mlevine@cs.bgu.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1212.2817
or