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ON SPACES OF WEAK* TO WEAK CONTINUOUS COMPACT OPERATORS
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 Title & Authors
ON SPACES OF WEAK* TO WEAK CONTINUOUS COMPACT OPERATORS
Kim, Ju Myung;
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 Abstract
This paper is concerned with the space of to weak continuous compact operators from the dual space of a Banach space X to a Banach space Y. We show that if or has the Radon-Nikodm property, is a convex subset of with and T is a bounded linear operator from into Y, then if and only if , where is the topology of uniform convergence on each compact subset of X, moreover, if , here need not to contain 0, then if and only if in the topology of the operator norm. Some properties of are presented.
 Keywords
to weak continuous compact operator;dual of operator space;the topology of compact convergence;approximation properties;
 Language
English
 Cited by
1.
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2.
Unconditional almost squareness and applications to spaces of Lipschitz functions, Journal of Mathematical Analysis and Applications, 2017, 451, 1, 117  crossref(new windwow)
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