Remark on analytic functions in ordered spaces

Miloslav Duchoň

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 2, page 133-139
  • ISSN: 0232-0525

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Duchoň, Miloslav. "Remark on analytic functions in ordered spaces." Mathematica Slovaca 31.2 (1981): 133-139. <http://eudml.org/doc/34103>.

@article{Duchoň1981,
author = {Duchoň, Miloslav},
journal = {Mathematica Slovaca},
keywords = {Vivanti-Pringsheim theorem; power series with coefficients from the weakly normal positive cone of an ordered separated locally convex space; strong dual of an ordered barrelled locally convex space with a generating positive cone},
language = {eng},
number = {2},
pages = {133-139},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Remark on analytic functions in ordered spaces},
url = {http://eudml.org/doc/34103},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Duchoň, Miloslav
TI - Remark on analytic functions in ordered spaces
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 2
SP - 133
EP - 139
LA - eng
KW - Vivanti-Pringsheim theorem; power series with coefficients from the weakly normal positive cone of an ordered separated locally convex space; strong dual of an ordered barrelled locally convex space with a generating positive cone
UR - http://eudml.org/doc/34103
ER -

References

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  1. BOGDANOWICZ W. M., Analytic continuation of holomorphic functions with values in locally convex spaces, Proc. Amer. Math. Soc. 22, 1969, 660-666. (1969) MR0250067
  2. BOCHNAK J., SICIAK J., Analytic functions in topological vector spaces, Studia Math. 39, 1971, 77-112. (1971) Zbl0214.37703MR0313811
  3. DUHOUX M., Espaces vectoriels topologiques préordonnés, Séminaires de Matématique Pure, Louvain 1974. (1974) Zbl0297.46010MR0467239
  4. EDWARDS R. E., Functional analysis, New York 1965. (1965) Zbl0182.16101
  5. HORVATH J., Topological vector spaces and distributions, Vol. 1, London 1966. (1966) Zbl0143.15101
  6. ROBERTSON A. P., ROBERTSON W., Topological vector spaces, Cambridge 1973. (1973) Zbl0251.46002MR0350361
  7. SCHAEFER H. H., Topological vector spaces, New York 1971. (1971) Zbl0217.16002MR0276721
  8. SCHAEFER H. H., Convex cones and spectral theory, Proc. Sympos. Pure Math., Vol. 7, Coпvexity, 1967, 451-471. (1967) MR0157214

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