Baire properties of (LF)-spaces

Authors

  • P.P. Narayanaswami

DOI:

https://doi.org/10.1285/i15900932v7n1p1

Abstract

We relate the study of (LF)–spaces with some covering properties of locally convex spaces, which are variations of the theme of "Baire Space". All (LF)-spaces are partitioned into theree classes, called $(LF)1$, $(LF)2$ and $(LF)3$-spaces respectively. We then show that these classes are precisely the classes of $(LF)$-spaces that distinguish between the several Baire-type coverings we considered.The role of the sequence space φ in this context is studied.The interaction between $(LF)3$-spaces and the Separable Quotient Problem is also discussed.

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Published

01-01-1987

Issue

Volume 7, Issue 1 (1987)

Section

Articoli

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