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Alternative Title
Abstract
Let X be an open set in a Banach space G on which there is a Cp bump function with bounded derivatives. We present a complete characterization of local (i.e., support shrinking) linear operators T:Cp(X,E)→Cq(X,F), where E and F are Banach spaces. © 2011 Elsevier Inc.
Keywords
Local operators, Vector-valued smooth functions
Source Title
Journal of Mathematical Analysis and Applications
Publisher
Series/Report No.
Collections
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Date
2011-09-01
DOI
10.1016/j.jmaa.2011.04.016
Type
Article