14 Jul
2010
14 Jul
'10
12:29 p.m.
This is an announcement for the paper "Constructing non-compact operators into $c_0$" by Iryna Banakh and Taras Banakh.
Abstract: We prove that for each dense non-compact linear operator $S:X\to Y$ between Banach spaces there is a linear operator $T:Y\to c_0$ such that the operator $TS:X\to c_0$ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
Archive classification: math.FA
Mathematics Subject Classification: 47B07, 46B15
Remarks: 2 pages
Submitted from: tbanakh@yahoo.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1006.3089
or