Skip to main content
Log in

Generalized Mityagin invariants and a continuum of pairwise nonisomorphic spaces of analytic functions

  • Published:
Functional Analysis and Its Applications Aims and scope

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Literature Cited

  1. B. S. Mityagin, “Sur l'équivalence des bases inconditionales dans les échelles de Hilbert,” C. R. Acad. Sci.,269, 426–428 (1969).

    Google Scholar 

  2. B. S. Mityagin, “Equivalence of bases in Hilbert scales,” Stud. Math.,37, 111–137 (1971).

    Google Scholar 

  3. V. P. Zakharyuta, “Linear topological invariants and isomorphism of spaces of analytic functions (Secs. 1–3),” Mat. Analiz Prilozhen.,2, 3–13 (1970); corrections and complements (Secs. 4–6), ibid.,3, 176–180 (1971).

    Google Scholar 

  4. V. P. Zakharyuta, “Isomorphism and quasiequivalence of bases for Köthe power spaces,” Dokl. Akad. Nauk SSSR,221, No. 4, 772–774 (1975).

    Google Scholar 

  5. V. P. Zakharyuta, “Isomorphism and quasiequivalence of bases for Köthe power spaces,” in: Proceedings of the Seventh Drogobychskii Mathematics School on Functional Analysis, Moscow (1974).

  6. B. S. Mityagin, “Approximative dimension and bases in nuclear spaces,” Usp. Mat. Nauk,16, No. 4, 63–132 (1961).

    Google Scholar 

  7. L. A. Eizenberg and B. S. Mityagin, “Spaces of functions analytic in multiply circular domains,” Sib. Mat. Zh.,1, No. 2, 153–170 (1960).

    Google Scholar 

  8. S. D. Okun’, “On isomorphism of spaces of functions analytic in doubly circular domains,” Uch. Zap. Mosk. Obl. Pedagog. Inst.,166, 139–156 (1966).

    Google Scholar 

  9. G. M. Bezdudnyi, “On isomorphisms of spaces of functions holomorphic in a certain class of a doubly circular domains,” in: Communications of the Third Conference of the Mathematical Research Society of Rostov University [in Russian], No. 1, Rostov-on-Don (1969), pp. 66–72.

Download references

Authors

Additional information

Rostov State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 11, No. 3, pp. 24–30, July–September, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zakharyuta, V.P. Generalized Mityagin invariants and a continuum of pairwise nonisomorphic spaces of analytic functions. Funct Anal Its Appl 11, 182–188 (1977). https://doi.org/10.1007/BF01079463

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01079463

Keywords

Navigation