Skip to main content
SpringerLink
Log in

Holomorphic functions on (c 0,X b)-modules

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Alexander, H.: Analytic functions on Banach spaces. Thesis, University of California at Berkeley (1968).

  2. Barroso, J. A.: Topologia em espaços de aplicações holomorfas entre espaços localmente convexos, Thesis, Instituto de Matemática Pura e Aplicada, Rio de Janeiro (1970).

  3. Chae, S. B.: Holomorphic germs on Banach spaces. Thesis, University of Rochester (1969).

  4. Coeuré, G.: Fonctions plurisousharmonique sur les espaces vectoriels topologiques et aplications à l'étude des fonctions analytiques. Thesis, Université de Nancy (1969).

  5. Day, M. M.: Normed linear spaces. Berlin-Göttingen-Heidelberg: Springer 1962.

    Google Scholar 

  6. Dineen, S.: Holomorphy types on a Banach space. Thesis, University of Maryland Studia Math.39, 241–288 (1971).

    Google Scholar 

  7. —— Unbounded holomorphic functions on a Banach space J. Lond. Math. Soc.,4, 3, 461–465 (1972).

    Google Scholar 

  8. —— The Cartan-Thullen theorem for Banach spaces. Annali della Scuola Normale Superiore de Pisa24 (4), 667–676 (1970).

    Google Scholar 

  9. —— Bounding subsets of a Banach space. Math. Ann.192, 61–70 (1971).

    Google Scholar 

  10. Exbrayat, J. M.: Fonctions analytiques sur un espace de Banach, Séminaire P. Lelong 1969; Lecture notes in Mathematics 116. Berlin-Heidelberg-New York: Springer 1970.

    Google Scholar 

  11. Hirschowitz, A.: Remarques sur les ouverts d'holomorphie d'un produit dénombrable de droites, Annales de l'Institut Fourier19, 219–229 (1969).

    Google Scholar 

  12. —— Sur le non-plongement des variétés analytiques Banachiques réelles. C. R. Acad. Sc., Paris269, 844–846 (1969).

    Google Scholar 

  13. —— Bornologie des espaces de fonctions analytiques en dimension infini. Séminaire P. Lelong, Lecture Notes in Math.205 Berlin-Heidelberg-New York: Springer 1971.

    Google Scholar 

  14. Horvath, J.: Topological vector spaces and distributions. Vol. 1. Reading, Mass.: Addison-Wesley 1966.

    Google Scholar 

  15. Nachbin, L.: Topology on spaces of holomorphic mappings. Ergebnisse der Mathematik und ihrer Grenzgebiete 47. Berlin-Heidelberg-New York: Springer 1969.

    Google Scholar 

  16. —— Holomorphic functions, domains of holomorphy and local properties. Amsterdam: North Holland Publishing Co., 1970.

    Google Scholar 

  17. -- Concerning spaces of holomorphic mappings, Lectures given at Rutgers University, February 1970.

  18. -- Concerning holomorphy types for Banach spaces. Studia Mathematica, Proceedings of the Colloquium on Nuclear Spaces and Ideals in Operator Algebras, Warsaw, Poland, June 1969.

  19. Noverraz, P.: Fonctions Plurisousharmoniques et analytiques dans les espaces vectoriels topologiques complexes. Annales de l'Institut Fourier, Grenoble19 (2), 419–493 (1969).

    Google Scholar 

Download references

Author information

Author notes

  1. Seán Dineen

    Present address: Dublin Institute for Advanced Studies, 10 Burlington Rd., Dublin 4, Ireland

Authors and Affiliations

  1. Department of Mathematics, The University of Rochester, 14627, Rochester, New York, USA

    Seán Dineen

Authors
  1. Seán Dineen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

These results were announced without proof in the C. R. Acad. Sc., Paris. t 271, p. 643–644.

Research supported by grant GP 14303 from the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dineen, S. Holomorphic functions on (c 0,X b)-modules. Math. Ann. 196, 106–116 (1972). https://doi.org/10.1007/BF01419608

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01419608

Keywords

Search

Navigation