Remarks on bounded sets in $(LF)_{tv}$-spaces
Kąkol, Jerzy
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 239-244 / Harvested from Czech Digital Mathematics Library
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We establish the relationship between regularity of a Hausdorff $(LB)_{tv}$-space and its properties like (K), M.c.c., sequential completeness, local completeness. We give a sufficient and necessary condition for a Hausdorff $(LB)_{tv}$-space to be an $(LS)_{tv}$-space. A factorization theorem for $(LN)_{tv}$-spaces with property (K) is also obtained.

Publié le : 1995-01-01
Classification:  46A12,  46A13,  46A16 
@article{118751,
     author = {Jerzy K\k akol},
     title = {Remarks on bounded sets in $(LF)\_{tv}$-spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {239-244},
     zbl = {0830.46003},
     mrnumber = {1357524},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118751}
}

Kąkol, Jerzy. Remarks on bounded sets in $(LF)_{tv}$-spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 239-244. http://gdmltest.u-ga.fr/item/118751/

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