Recent Results in the Theory of Matrix Transformations in Sequence Spaces
Reflexivity of projective tensor products of echelon and coechelon Kothe spaces.
Reflexivity of spaces of weakly summable sequences.
We deal with the space of Λ-summable sequences from a locally convex space E, where Λ is a metrizable perfect sequence space. We give a characterization of the reflexivity of Λ(E) in terms of that of Λ and E and the AK property. In particular, we prove that if Λ is an echelon sequence space and E is a Fréchet space then Λ(E) is reflexive if and only if Λ and E are reflexive.
Relations Between Summing Norms of Mappings on ln... .
Remarks on the existence of unconditional bases for weighted countably-Hilbert spaces and their complemented subspaces.
Representaciones de los espacios OM (E) y DLP (E).
Representation of continuous linear functionals on a subspace of a countable Cartesien product of Banach spaces