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On the convergence of the operator method perturbation series

✍ Scribed by Francisco M. Fernández; Alejandro M. Mesón; Eduardo A. Castro


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
196 KB
Volume
104
Category
Article
ISSN
0375-9601

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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