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Artículo
in λ-sums of normed spaces
(Guy Hirsch, 1989)
Let E n , n=1,2,··. be a sequence of normed spaces and λ an AK-Köthe sequence space. The λ-sum of the spaces E n is defined by λ{E n }:={(x n ) n : x n is in E n and (|x n |) n ∈λ}. Starting from the topology in λ, λ{E n ...
Artículo
Barrelledness of Spaces with Toeplitz Decompositions
(Elsevier, 1999)
A Toeplitz decomposition of a locally convex space E into subspaces (Ek) with projections (Pk) is a decomposition of every x ∈ E as x = ∑kPkx, where ordinary summability has been replaced by summability with respect to an ...