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arXiv · 1203.3607

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

Denny H. Leung·Ya-Shu Wang
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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.

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Denny H. Leung, Ya-Shu Wang. 2012-03-16. Compact and weakly compact disjointness preserving operators on spaces of differentiable functions. https://arxiv.org/abs/1203.3607

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