Geodesic
Remarks on bounded sets in $(LF)_{tv}$-spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 239-244 Cet article a éte moissonné depuis la source 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.
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.
Classification : 46A12, 46A13, 46A16
Keywords: topological vector space; inductive limits 
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     author = {K\k{a}kol, Jerzy},
     title = {Remarks on bounded sets in $(LF)_{tv}$-spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {239--244},
     year = {1995},
     volume = {36},
     number = {2},
     mrnumber = {1357524},
     zbl = {0830.46003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995_36_2_a2/}
}
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Kąkol, Jerzy. Remarks on bounded sets in $(LF)_{tv}$-spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 239-244. http://geodesic.mathdoc.fr/item/CMUC_1995_36_2_a2/