The topological proof of the Nachbin-Shirota's theorem
Commentationes Mathematicae Universitatis Carolinae (1983)
- Volume: 024, Issue: 4, page 693-699
- ISSN: 0010-2628
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topAsanov, M. O., and Shamgunov, N. K.. "The topological proof of the Nachbin-Shirota's theorem." Commentationes Mathematicae Universitatis Carolinae 024.4 (1983): 693-699. <http://eudml.org/doc/17288>.
@article{Asanov1983,
author = {Asanov, M. O., Shamgunov, N. K.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {compact-open topology; barrelledness; boundedness; compactness; -barrelledness; infrabaralledness; Nachbin-Shirota theorem},
language = {eng},
number = {4},
pages = {693-699},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The topological proof of the Nachbin-Shirota's theorem},
url = {http://eudml.org/doc/17288},
volume = {024},
year = {1983},
}
TY - JOUR
AU - Asanov, M. O.
AU - Shamgunov, N. K.
TI - The topological proof of the Nachbin-Shirota's theorem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 4
SP - 693
EP - 699
LA - eng
KW - compact-open topology; barrelledness; boundedness; compactness; -barrelledness; infrabaralledness; Nachbin-Shirota theorem
UR - http://eudml.org/doc/17288
ER -
References
top- A. V. ARHANGEL'SKIĬ, On linear homeomorphism function spaces, Dokl. Akad. Nauk SSSR (in Russian) 264 (1982), 1289-1292. (1982) MR0664477
- L. NACHBIN, Topological vector spaces of continuous functions, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 471-474. (1954) Zbl0055.09803MR0063647
- T. SHIROTA, On locally convex vector spaces of continuous functions, Proc. Japan Acad. Sci. 30 (1954), 294-298. (1954) Zbl0057.33801MR0064389
- E. BECKENSTEIN L. NARICI C. SUFFEL, Topological Algebras, North-Holland Mathematics Studies 24 (1977). (1977) MR0473835
- J. SCHMETS, Espaces des Fonctions Continues, Lect. Notes Math. 519 (1976). (1976) MR0423058
- J. SCHMETS, Indépendence des propriétés de tonnelage et d'évaluabilité affaiblis, Bull. Soc. Roy. Liège 42 (1973), 111-115. (1973) MR0326333
- S. VARNER, The topology of compact convergence on continuous function spaces, Duke Math. J. 25 (1958), 265-282. (1958) MR0102735
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