Please use this identifier to cite or link to this item: https://doi.org/10.1090/S0002-9947-2012-05831-4
Title: Compact and weakly compact disjointness preserving operators on spaces of differentiable functions
Authors: Leung, D.H. 
Wang, Y.-S.
Keywords: Compact and weakly compact operators
Disjointness preserving operators
Spaces of vector-valued differentiable functions
Issue Date: 2013
Source: Leung, D.H.,Wang, Y.-S. (2013). Compact and weakly compact disjointness preserving operators on spaces of differentiable functions. Transactions of the American Mathematical Society 365 (3) : 1251-1276. ScholarBank@NUS Repository. https://doi.org/10.1090/S0002-9947-2012-05831-4
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. © 2012 American Mathematical Society.
Source Title: Transactions of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/103004
ISSN: 00029947
DOI: 10.1090/S0002-9947-2012-05831-4
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