Analogies entre l'holomorphie et la linéarité

Leopoldo Nachbin

Séminaire Paul Krée (1977-1978)

  • Volume: 4, page 1-10

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Nachbin, Leopoldo. "Analogies entre l'holomorphie et la linéarité." Séminaire Paul Krée 4 (1977-1978): 1-10. <http://eudml.org/doc/112846>.

@article{Nachbin1977-1978,
author = {Nachbin, Leopoldo},
journal = {Séminaire Paul Krée},
keywords = {Montel; holomorphic classifications of locally converse spaces; semimetrizable; barrelled; bornological; infrabornological; Mackey; Baire; Silva},
language = {fre},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {Analogies entre l'holomorphie et la linéarité},
url = {http://eudml.org/doc/112846},
volume = {4},
year = {1977-1978},
}

TY - JOUR
AU - Nachbin, Leopoldo
TI - Analogies entre l'holomorphie et la linéarité
JO - Séminaire Paul Krée
PY - 1977-1978
PB - Secrétariat mathématique
VL - 4
SP - 1
EP - 10
LA - fre
KW - Montel; holomorphic classifications of locally converse spaces; semimetrizable; barrelled; bornological; infrabornological; Mackey; Baire; Silva
UR - http://eudml.org/doc/112846
ER -

References

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  1. [1] Aragona ( J.). - On the holomorphical classification of spaces of holomorphic germs, Resultate der Math. (à paraître). 
  2. [2] Barposo ( J.A.), Matos ( M.C.) and Nachbin ( L.). - On bounded sets of holomorphic mappings, "Proceedings on infinite dimensional holomorphy [Lexington, 1973]", p. 123-133. - Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 364). Zbl0282.46032MR394200
  3. [3] Barroso ( J.A.), Mattos ( M.C.) and Nachbin ( L.). - On holomorphy versus linearity in classifying locally convex spaces, "Infinite dimensional holomorphy and applications [Sao Paulo, 1975]", p. 31-74. - Amsterdam, North-Holland publishing Company, 1977 (North-Holland Mathematics Studies, 12 ; Notas de Matematica, 54). Zbl0399.46034MR473817
  4. [4] Bourbaki ( N.). - Espaces vectoriels topologiques. Chapitres 1-2, 3-5. - Paris, Hermann, 1953, 1955 (Act. scicnt. et ind., 1189 et 1229 ; Bourbaki, 15 et 18). 
  5. [5] Coeure ( G.). - Analytic functions and manifolds in infinité dimensional spaces. - Amsterdam, North-Holland publishing Company ; New York, American Elsevier publishing Company, 1974 (North-Holland Mathematics Studies, 11 ; Notas de Matematica, 52). Zbl0282.32015MR355595
  6. [6] Horvath ( J.). - Topological vector spaces and distributions. - Reading, Addison-Wesley publishing Company, 1966 (Addison-Wesley Series in Mathematics). Zbl0143.15101MR205028
  7. [7] Köthe. - Topological vector spaces. - Berlin, Springer-Verlag, 1969 (Grundlehrer der mathematischen Wissenschaften, 159). Zbl0179.17001
  8. [8] Nachbin ( L.). - Topology on spaces of holomorphic mappings. - Berlin, Springer-Verlag, 1969 (Ergebnisse der Mathematik, 47). Zbl0172.39902MR254579
  9. [9] Nachbin ( L.). - Recent developments in infinite dimensional holomorphy, Bull. Amer. math. Soc., t. 79, 1973, p. 625-640. Zbl0279.32017MR322509
  10. [10] Nachbin ( L.). - On vector-valued versus scalar-valued holomorphic continuation, Koninkl. nederl. Akad. Wetensch., Proc., Series A, t. 74, 1973, p. 352-354 ; Indag. math., t. 35, 1973, p. 352-354. Zbl0271.46018MR331060
  11. [11] Nachbin ( L.). - A glimpse at infinite dimensional holomorphy, "Infinite dimensional holomorphy [Lexington, 1973]", p. 69-79. - Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 364). Zbl0276.32016MR394204
  12. [12] Naghbin ( L.). - Some problems in the application of functional analysis to holomorphy, "Advances in holomorphy". - Amsterdam, North-Holland publishing Company (Notas de Matematica) (à paraître). Zbl0488.46041
  13. [13] Noverraz ( P.). - Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie. - Amsterdam, North-Holland publishing Company ; New York, American Elsevier publishing Company, 1973 (North-Holland Mathematics Studies, 3 ; Notas de Matematica, 48). Zbl0251.46049MR358348
  14. [14] Schaefer ( H.H.). - Topological vector spaces. - New York, the Macmillan Company ; London, Collier-Macmillan limited, 1966 (Macmillan Series in advanced Mathematics and theoretical Physics). Zbl0141.30503MR193469
  15. [15] Treves ( F.). - Topological vector spaces, distributions and kernels. - New York, Academic Press, 1967 (Pure and applied Mathematics. Academic Press, 25). Zbl0171.10402MR225131

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