Skip to main content
Log in

Factorization of holomorphic mappings in infinite dimensions

  • 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

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

Instant access to the full article PDF.

References

  1. Alencar, R., Aron, R.M., Dineen, S.: A reflexive space of holomorphic functions in infinitely many variables. Proc. Am. Math. Soc.90, 407–411 (1984)

    Google Scholar 

  2. Aron, R.M.: Holomorphic functions on balanced subsets of a Banach space. Bull. Am. Math. Soc.78, 624–627 (1972)

    Google Scholar 

  3. Aron, R.M.: Weakly uniformly continuous and weakly sequentially continuous entire functions. Advances in holomorphy. Barroso, J.A. (ed.) Math. Studies. 34, 47–66, Amsterdam: North-Holland 1979

    Google Scholar 

  4. Aron, R.M., Hervés, C.: Weakly sequentially continuous functions on a Banach space. Functional analysis, holomorphy and approximation theory II 23–38. Zapata, G.I. (ed.). Amsterdam: North-Holland 1984

    Google Scholar 

  5. Aron, R.M., Hervés, C., Valdivia, M.: Weakly continuous mappings on Banach spaces. J. Funct. Anal.52, 189–204 (1983)

    Google Scholar 

  6. Aron, R.M., Schottenloher, M.: Compact holomorphic mappings on Banach spaces and the approximation property. J. Funct. Anal.21, 7–30 (1976)

    Google Scholar 

  7. Barroso, J.A., Nachbin, L.: Some topological properties of spaces of holomorphic mappings in infinitely many variables. Advances in holomorphy. 67–91. Barroso, J.A. (ed.). Math. Studies 34. Amsterdam: North-Holland 1979

    Google Scholar 

  8. Chae, S.B.: Holomorphy and calculus in normed spaces. Monographs and Textbooks in Pure and Applied. Math. 92. New York, Basel: Dekker 1985

    Google Scholar 

  9. Diestel, J.: Sequences and Series in Banach Spaces. Graduate Texts in Mathematics 92. Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  10. Dineen, S.: Holomorphic functions on (c 0,X b )-modules. Math. Ann.196, 106–116 (1972)

    Google Scholar 

  11. Dineen, S.: Holomorphic functions on locally convex topological vector spaces: I locally convex topologies onH(U). Ann. Inst. Fourier23, 19–54 (1973)

    Google Scholar 

  12. Dineen, S.: Complex analysis in locally convex spaces. Math. Studies 57. Amsterdam: North-Holland 1981

    Google Scholar 

  13. Dineen, S.: Entire functions onc 0. J. Funct. Anal.52, 205–218 (1983)

    Google Scholar 

  14. James, R.C.: Weakly compact sets. Trans. Am. Math. Soc.113, 129–140 (1964)

    Google Scholar 

  15. Moraes, L.A.: Quotients of spaces of holomorphic functions on Banach spaces. Preprint (1986)

  16. Tsirelson, B.S.: Not every Banach space contains an imbedding ofl p orc 0. Funct. Anal. Appl.8, 138–141 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aron, R.M., Moraes, L.A. & Ryan, R.A. Factorization of holomorphic mappings in infinite dimensions. Math. Ann. 277, 617–628 (1987). https://doi.org/10.1007/BF01457861

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01457861

Keywords

Navigation