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math.FA2009★ 21 cited
The Schur l1 Theorem for filters
Antonio Avilés, Bernardo Cascales, Vladimir Kadets +1
We study the classes of filters F on N such that the weak and strong F-convergence of sequences in l1 coincide. We study also an analogue of l1 weak sequential completeness theorem…
math.FA2008
Slicely Countably Determined Banach spaces
Antonio Aviles, Vladimir Kadets, Miguel Martin +2
We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of . We present many…