Skip to main content
SpringerLink
Log in

Topological properties of abstract analytic spaces

  • Published:
Siberian Mathematical Journal 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

Literature Cited

  1. V. P. Khavin, “Spaces of analytic functions,” in: Mathematical Analysis. Mathematical Series, 1964 [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  2. M. G. Khaplanov, “Some properties of an analytic space,” Dokl. Akad. Nauk SSSR,79, No. 6, 929–932 (1951).

    Google Scholar 

  3. K. Zeller, “FK-Räume in der Funktionentheorie. I, II,” Math. Z.,58 Nos. 3, 4, 288–305, 414–435 (1953).

    Google Scholar 

  4. S. Rolewicz, “On spaces of holomorphic functions,” Stud. Math.,21, No. 2, 135–160 (1961).

    Google Scholar 

  5. A. I. Fet, “The space of analytic functions and its applications to the Cauchy-Kowalewsky problem,” Usp. Mat. Nauk,11, No. 2, 215–222 (1956).

    Google Scholar 

  6. S. D. Okun', “On the problem of isomorphism of a space of functions analytic in doubly circular domains,” Uchebn. Zap. Mosk. Obl. Ped. Inst.,137, 151–165 (1964).

    Google Scholar 

  7. Yu. F. Korobeinik, “The general form of a linear functional in certain spaces of analytic functions and its applications in the theory of differential operators of infinite order,” in: Mathematical Analysis and Its Applications [in Russian], Izd. Rostovsk. Inst., Rostov (1969), pp. 116–132.

    Google Scholar 

  8. G. Köthe, “Neue Begründung der Theorie der vollkommenen Räume,” Math. Nachr.,4, 70–80 (1950/51).

    Google Scholar 

  9. O. Teoplitz, “Die linearen vollkommenen Räume der Funktionentheorie,” Comment. Math. Helv.,23, 222–242 (1949).

    Google Scholar 

  10. L. I. Ronkin, Introduction to the Theory of Entire Functions in Several Variables, American Mathematical Society.

  11. G. Köthe, Topologische lineare Räume, Springer-Verlag, Berlin (1960).

    Google Scholar 

  12. N. Bourbaki, Espaces Vectoriels Topologiques, Hermann, Paris.

  13. H. Schaefer, Topological Vector Spaces, Springer-Verlag, New York.

  14. V. V. Morzhakov, “On the theory of applicability of differential operators of infinite order in spaces of functions of several complex variables,” Liet. Mat. Rink.,11, 841–859 (1971).

    Google Scholar 

  15. G. Köthe, “Erweiterung von Linear-funktionen in linearen Räumen,” Math. Ann.116, 719–732 (1939).

    Google Scholar 

  16. A. Grothendieck, “On the spaces (ℱ) and (Dℱ).” [Russian translation], in: Matematika, Sb. Perevodov,2, No. 3, 81–127 (1958).

Download references

Authors
  1. F. I. Geche
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 6, pp. 1271–1288, November–December, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Geche, F.I. Topological properties of abstract analytic spaces. Sib Math J 18, 900–912 (1977). https://doi.org/10.1007/BF00969227

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969227

Keywords

Search

Navigation