Displaying similar documents to “On the ideal of all subsets on N of ddensity zero”

On suprabarrelledness of c (Ω, X).

Manuel López Pellicer, Salvador Moll (2003)

RACSAM

Similarity:

Si Ω­ es un conjunto no vacío y X es un espacio normado real o complejo, se tiene que, con la norma supremo, el espacio c0 (Ω, X) formado por las funciones f : Ω­ → X tales que para cada ε > 0 el conjunto {ω ∈ Ω­ : || f(ω) || > ε} es finito es supratonelado si y sólo si X es supratonelado.

Unitary sequences and classes of barrelledness.

Manuel López Pellicer, Salvador Moll (2003)

RACSAM

Similarity:

It is well known that some dense subspaces of a barrelled space could be not barrelled. Here we prove that dense subspaces of l∞ (Ω, X) are barrelled (unordered Baire-like or p?barrelled) spaces if they have ?enough? subspaces with the considered barrelledness property and if the normed space X has this barrelledness property. These dense subspaces are used in measure theory and its barrelledness is related with some sequences of unitary vectors. ...

On nonbornological barrelled spaces

Manuel Valdivia (1972)

Annales de l'institut Fourier

Similarity:

If E is the topological product of a non-countable family of barrelled spaces of non-nulle dimension, there exists an infinite number of non-bornological barrelled subspaces of E . The same result is obtained replacing “barrelled” by “quasi-barrelled”.