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A Riemann type theorem for series of operators on Banach spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
We study Kalton's theorem on the unconditional convergence of series of compact operators and we use some matrix techniques to obtain sufficient conditions, weaker than previous ones, on the convergence and unconditional convergence of series of compact operators. Finally, we characterise weak unconditionally Cauchy series in Cℒ(X, Y) in the terms of certain spaces of vector sequences.
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- Copyright © Australian Mathematical Society 2003