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Unconditionally Convergent Series of Operators on Banach Spaces

✍ Scribed by Qingying Bu; Congxin Wu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
180 KB
Volume
207
Category
Article
ISSN
0022-247X

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✦ Synopsis

We show that any series Ý K of operators in L X, Y that is unconditionally n n convergent in the weak operator topology and satisfies the condition that Ý K n g F n is a compact operator for every index set F : β€«ήŽβ€¬ is unconditionally convergent in the uniform operator topology if and only if X *, the dual space of the Banach space X, contains no copy of c .

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