This is an announcement for the paper "Compact and weakly compact disjointness preserving operators on spaces of differentiable functions" by Denny H. Leung and Ya-Shu Wang.
Abstract: A pair of functions defined on a set X with values in a vector space E is said to be disjoint if at least one of the functions takes the value $0$ at every point in X. An operator acting between vector-valued function spaces is disjointness preserving if it maps disjoint functions to disjoint functions. We characterize compact and weakly compact disjointness preserving operators between spaces of Banach space-valued differentiable functions.
Archive classification: math.FA
Mathematics Subject Classification: 46E40, 46E50, 47B33, 47B38
Submitted from: matlhh@nus.edu.sg
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1203.3607
or