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Bounding subsets of a Banach space

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Bibliography

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

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

  3. Coeuré, G.: Fonctions plurisousharmonique sur les espaces vectoriels topologiques et applications a l'etude des fonctions analytiques. Thesis, Université de Nancy, 1969.

  4. Dineen, S.: Holomorphy types on a Banach space. Thesis, University of Maryland, 1969, (to be published in Studia Mathematica).

  5. -- Unbounded holomorphic functions on a Banach space. (To be published.)

  6. -- The Cartan-Thullen theorem for Banach spaces. (To be published Annali della Smola Normale Superiore de Pisa.)

  7. Gupta, C. P.: Malgrange theorem for nuclearly entire functions of bounded type on a Banach space. Thesis, University of Rochester, 1966. Reproduced in Notas de Matematica 37, Instituto de Matematica Pura e Aplicade, Rio de Janeiro (1968).

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

    Google Scholar 

  9. —— Sur le non-plongement des varietes analytiques Banachiques Réelles. C. R. Acad. Sci., Paris269, 1969, (844–846).

    Google Scholar 

  10. -- Bornologie des espaces de fonctions analytiques en dimension infini. Seminar Lelong, December, 1969.

  11. Horvath, J.: Topological vector spaces and distributions, Vol. 1. Reading, MA-London: Addison-Wesley, 1966.

    Google Scholar 

  12. Nachbin, L.: Topology on spaces of holomorphic mappings. Ergebnisse der Mathematik und ihrer Grenzgebiete47. Berlin-Heidelberg-New York: Springer 1969.

    Google Scholar 

  13. --Convolution operators in spaces of nuclearly entire functions on a Banach space. To appear in the proceedings of the conference on functional analysis and related topics in honor of Professor M. H. Stone. Berlin-Heidelberg-New York: Springer.

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

  15. Nachbin, L., Gupta, C. P.: On Malgrange's theorem for nuclearly entire functions (to appear).

  16. Noverraz, P.: Fonctions plurisous harmonique et analytique dans les espaces vectoriels topologiques complexes. Thesis, Faculté des Sciences de Paris, 1960.

  17. Rosenthal, H. P.: On complemented and quasi-complemented subspaces of quotients ofC(S) for StonianS. Proc. Nat. Acad. Sc., 1968.

  18. -- On quasi-complemented subspaces of Banach spaces with an appendix on compactness of operators fromL p(μ) toL p(ϑ). Journal of Functional Analysis (1969), 176–214.

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Dineen, S. Bounding subsets of a Banach space. Math. Ann. 192, 61–70 (1971). https://doi.org/10.1007/BF02052733

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