EUDML

Let ${(E_{i})}_{i \in I}$ be a family of normed spaces and $λ$ a space of scalar generalized sequences. The $λ$ -sum of the family ${(E_{i})}_{i \in I}$ of spaces is $λ {{(E_{i})}_{i \in I}} : = {{(x_{i})}_{i \in I}, x_{i} \in E_{i}, and (∥ x_{i} {∥)}_{i \in I} \in λ} .$ Starting from the topology on $λ$ and the norm topology on each $E_{i},$ a natural topology on $λ {{(E_{i})}_{i \in I}}$ can be defined. We give conditions for $λ {{(E_{i})}_{i \in I}}$ to be quasi-barrelled, barrelled or locally complete.

A note on $λ$ -multiplier convergent series

Miguel Florencio; Pedro José Paúl — 1988

Časopis pro pěstování matematiky

A note on the Köthe dual of Banach-valued echelon spaces.

Miguel Florencio; Pedro J. Paúl; Carmen Sáez — 1988

Collectanea Mathematica

Complemented copies of c in vector-valued Köthe-Dieudonné function spaces.

Santiago Díaz; Antonio Fernandez; Miguel Florencio; Pedro J. Paúl — 1992

Collectanea Mathematica

Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space [Lambda(X)] of [Lambda]-Bochner integrable functions contains a complemented copy of c0.

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Sobre la propiedad A K y A K — C e n algunos espacios de sucesiones.

Sobre c-dualidad y espacios c-perfectos.

Una nota sobre espacios escalonados generales.

Sobre sumabilidad Cesáro en el espacio CS (II).

Sobre sumabilidad Cesáro en el espacio CS (I).

Barrelledness of generalized sums of normed spaces

A note on $λ$ -multiplier convergent series

A note on the Köthe dual of Banach-valued echelon spaces.

Complemented copies of c in vector-valued Köthe-Dieudonné function spaces.