Remarks on bounded sets in ( L F ) t v -spaces

Jerzy Kąkol

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 2, page 239-244
  • ISSN: 0010-2628

Abstract

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We establish the relationship between regularity of a Hausdorff ( L B ) t v -space and its properties like (K), M.c.c., sequential completeness, local completeness. We give a sufficient and necessary condition for a Hausdorff ( L B ) t v -space to be an ( L S ) t v -space. A factorization theorem for ( L N ) t v -spaces with property (K) is also obtained.

How to cite

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Kąkol, Jerzy. "Remarks on bounded sets in $(LF)_{tv}$-spaces." Commentationes Mathematicae Universitatis Carolinae 36.2 (1995): 239-244. <http://eudml.org/doc/247728>.

@article{Kąkol1995,
abstract = {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.},
author = {Kąkol, Jerzy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {topological vector space; inductive limits; sequential completeness; local completeness; property (K)},
language = {eng},
number = {2},
pages = {239-244},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on bounded sets in $(LF)_\{tv\}$-spaces},
url = {http://eudml.org/doc/247728},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Kąkol, Jerzy
TI - Remarks on bounded sets in $(LF)_{tv}$-spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 2
SP - 239
EP - 244
AB - 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.
LA - eng
KW - topological vector space; inductive limits; sequential completeness; local completeness; property (K)
UR - http://eudml.org/doc/247728
ER -

References

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