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On the convergence of Neumann series in Banach space

✍ Scribed by Noboru Suzuki

Publisher
Springer
Year
1976
Tongue
English
Weight
282 KB
Volume
220
Category
Article
ISSN
0025-5831

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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 \*, t