A note on polynomially barreled locally convex spaces

Dinamérico Pereira Pombo Junior

Annales de la Faculté des sciences de Toulouse : Mathématiques (1983)

  • Volume: 5, Issue: 3-4, page 281-286
  • ISSN: 0240-2963

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Pombo Junior, Dinamérico Pereira. "A note on polynomially barreled locally convex spaces." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.3-4 (1983): 281-286. <http://eudml.org/doc/73154>.

@article{PomboJunior1983,
author = {Pombo Junior, Dinamérico Pereira},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {vector-valued continuous polynomials; sequentially complete polynomially infrabarreled locally convex spaces are polynomially barreled},
language = {eng},
number = {3-4},
pages = {281-286},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A note on polynomially barreled locally convex spaces},
url = {http://eudml.org/doc/73154},
volume = {5},
year = {1983},
}

TY - JOUR
AU - Pombo Junior, Dinamérico Pereira
TI - A note on polynomially barreled locally convex spaces
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1983
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 3-4
SP - 281
EP - 286
LA - eng
KW - vector-valued continuous polynomials; sequentially complete polynomially infrabarreled locally convex spaces are polynomially barreled
UR - http://eudml.org/doc/73154
ER -

References

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  1. [1] J. Aragona. «Holomorphically significant properties of spaces of holomorphic germs». In Advances in Holomorphy (Editor : J.A. Barroso), North-Holland Publishing Company (1979), 31-46. Zbl0416.46030MR520653
  2. [2] J.A. Barroso, M.C. Matos, L. Nachbin. «On holomorphy versus linearity in classifying locally convex spaces». In Infinite dimensional holomorphy and applications (Editor : M.C. Matos), North-Holland Publishing Company (1977), 31-74. Zbl0399.46034MR473817
  3. [3] N. Bourbaki. «Espaces vectoriels topologiques». Hermann. 
  4. [4] A. Grothendieck. «Sur les espaces F et DF». Summa Brasiliensis Mathematicae3 (1954), 57-123. Zbl0058.09803MR75542
  5. [5] K. Kothe. «Topological vector spaces II». Springer-Verlag. Zbl0417.46001
  6. [6] L. Nachbin. «Topology on spaces of holomorphic mappings». Ergebnisse der Mathematik47 (1969), Springer-Verlag. Zbl0172.39902MR254579
  7. [7] L. Nachbin. «Some holomorphically significant properties of locally convex spaces». In Functional Analysis (Editor : D. de Figueiredo), Marcel Dekker (1976), 251-277. Zbl0344.46100MR632068
  8. [8] D.P. Pombo Jr. «On polynomial classification of locally convex spaces». Studia Mathematica, accepted for publication. 

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