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Complex homomorphisms of the algebras of holomorphic functions on Fréchet spaces

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References

  1. Aurich, V.: The spectrum as envelope of holomorphy of a domain over an arbitrary product of complex lines. In: Proceedings on infinite dimensional holomorphy. Lecture Notes in Math. 364, pp. 109–122. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  2. Coeuré, G.: Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications a l'étude des fonctions analytiques. Ann. Inst. Fourier (Grenoble)20, 361–432 (1970)

    Google Scholar 

  3. Dineen, S.: The Cartan-Thullen theorem for Banach spaces. Ann. Scuola Norm. Sup. Pisa24, 667–676 (1970)

    Google Scholar 

  4. Dineen, S.: Holomorphic functions on locally convex topological vector spaces, I. Locally convex topologies on ℋ(U). Ann. Inst. Fourier (Grenoble)23, 19–54 (1973)

    Google Scholar 

  5. Dineen, S.: Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains. Ann. Inst. Fourier (Grenoble)23, 155–185 (1973)

    Google Scholar 

  6. Dineen, S.: Surjective limits of locally convex spaces and their applications to infinite dimensional holomorphy. Bull. Soc. Math. France103, 441–509 (1975)

    Google Scholar 

  7. Dineen, S.: Analytic functionals on fully nuclear spaces (preprint)

  8. Dineen, S., Hirschowitz, A.: Sur le théorème de Levi banachique. C.R. Acad. Sc. Paris272, 1245–1247 (1971)

    Google Scholar 

  9. Hirschowitz, A.: Prolongement analytique en dimension infinie. Ann. Inst. Fourier (Grenoble)22, 255–292 (1972)

    Google Scholar 

  10. Horváth, J.: Topological vector spaces and distributions. I. Reading, Mass.: Addison-Wesley 1966

    Google Scholar 

  11. Isidro, J.M.: Characterization of the spectrum of some topological algebras of holomorphic functions. In: Advances in holomorphy, pp. 407–416. Amsterdam: North-Holland 1979

    Google Scholar 

  12. Josefson, B.: A counterexample in the Levi problem. In: Proceedings on infinite dimensional holomorphy. Lecture Notes in Math. 364, pp. 168–177. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  13. Matyszczyk, C.: Approximation of analytic operators by polynomials in complexB 0-spaces with bounded approximation property. Bull. Acad. Polon. Sci.20, 833–836 (1972)

    Google Scholar 

  14. Matyszczyk, C.: Approximation of analytic and continuous mappings by polynomials in Fréchet spaces. Studia Math.60, 223–238 (1977)

    Google Scholar 

  15. Mujica, J.: Ideals of holomorphic functions on Fréchet spaces. In: Advances in holomorphy, pp. 563–576. Amsterdam: North-Holland 1979

    Google Scholar 

  16. Nachbin, L.: Topology on spaces of holomorphic mappings. Berlin, Heidelberg, New York: Springer 1969

    Google Scholar 

  17. Nachbin, L.: Sur les espaces vectoriels topologiques d'applications continues. C.R. Acad. Sc. Paris271, 596–598 (1970)

    Google Scholar 

  18. Nachbin, L.: Uniformité d'holomorphie et type exponential. In: Séminaire Pierre Lelong année 1970. Lecture Notes in Mathematics 205, pp. 216–224. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  19. Noverraz, Ph.: Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie. Amsterdam: North-Holland 1973

    Google Scholar 

  20. Noverraz, Ph.: Pseudo-convexité et base de Schauder dans les elc. In: Séminaire Pierre Lelong année 1973/74. Lecture Notes in Mathematics 476, pp. 63–82. Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

  21. Pelczynski, A.: Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basis. Studia Math.40, 239–243 (1971)

    Google Scholar 

  22. Schottenloher, M.: Über analytische Fortsetzung in Banachräume. Math. Ann.199, 313–336 (1972)

    Google Scholar 

  23. Schottenloher, M.: Analytic continuation and regular classes in locally convex Hausdorff spaces. Portug. Math.33, 219–250 (1974)

    Google Scholar 

  24. Schottenloher, M.: Riemann domains: basic results and open problems. In: Proceedings on infinite dimensional holomorphy. Lecture Notes in Mathematics 364, pp. 196–212. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  25. Schottenloher, M.: Polynomial approximation on compact sets. In: Infinite dimensional holomorphy and applications, pp. 379–391. Amsterdam: North-Holland 1977

    Google Scholar 

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  1. Instituto de Matemática, Universidade Estadual de Campinas, Caixa Postal 1170, BR-13100, Campinas, SP, Brazil

    Jorge Mujica

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  1. Jorge Mujica
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Mujica, J. Complex homomorphisms of the algebras of holomorphic functions on Fréchet spaces. Math. Ann. 241, 73–82 (1979). https://doi.org/10.1007/BF01406710

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