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Displaying similar documents to “Hyperplanes of k-barrelled spaces”

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. ...