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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 | Citation: | 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 |
Appears in Collections: | Staff Publications |
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