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On banach spaces of absolutely and strongly convergent fourier series. II

✍ Scribed by I. Szalay; N. Tanović-Miller


Publisher
Akadmiai Kiad
Year
1991
Tongue
English
Weight
681 KB
Volume
57
Category
Article
ISSN
1588-2632

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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 : ‫ގ‬ is unconditionally convergent in the uniform operator topology if and only if X \*, t