Skip to main content
Log in

On equivalent bases in Banach spaces

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We present several generalizations of the classical Bari theorem on the Riesz basis property of close systems in Hilbert spaces to Banach spaces. We introduce the corresponding definitions and formulate theorems on the basis property of close systems in Banach spaces.

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.

Institutional subscriptions

References

  1. V. D. Mil’man, “Geometric theory of Banach spaces,” Usp. Mat. Nauk, 25, Issue 3, 113–174 (1970).

    MATH  MathSciNet  Google Scholar 

  2. I. Zinger, Bases in Banach Spaces. I, Springer, Berlin (1970).

    Google Scholar 

  3. B. T. Bilalov, “Bases of exponents, cosines, and sines that are eigenfunctions of differential operators,” Differents. Uravn., 39, No. 5, 1–5 (2003).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 551–554, April, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bilalov, B.T., Muradov, T.R. On equivalent bases in Banach spaces. Ukr Math J 59, 615–619 (2007). https://doi.org/10.1007/s11253-007-0040-1

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-007-0040-1

Keywords

Navigation