Compact and weakly compact disjointness preserving operators on spaces of differentiable functions

Details Compact and weakly compact disjointness preserving operators on spaces of differentiable functions Compact and weakly compact disjointness preserving operators on spaces of differentiable functions

2012-03-16

arxiv.org/abs/1203.3607v1

Mathematics

Functional Analysis

Scientific paper

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.

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