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

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 نشر من قبل Denny H. Leung
 تاريخ النشر 2012
  مجال البحث
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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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