Skip to main content
Log in

Normalizing and strongly normalizing subspaces of a conjugate Banach space

  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

Literature cited

  1. Yu. I. Petunin and A. N. Plichko, The Theory of Characteristics of Subspaces and Its Applications [in Russian], Vishcha Shkola, Kiev (1980).

    Google Scholar 

  2. B. V. Godun and M. I. Kadets, “The set of values of the characteristic of subspaces of a conjugate space,” in: The Theory of Functions, Functional Analysis and Its Applications [in Russian], Vol. 29, Kharkov (1978), pp. 25–31.

    Google Scholar 

  3. B. V. Godun, “Normalizing subspaces in certain conjugate Banach spaces,” Mat. Zametki,29, No. 4, 549–555 (1981).

    Google Scholar 

  4. B. V. Godun, “Unconditional bases and spanning bases of sequences,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 10, 69–72 (1980).

    Google Scholar 

  5. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag (1966).

  6. W. B. Johnson, H. P. Rosenthal, and M. Zippin, “On bases, finite-dimensional decompositions and weaker structures in Banach spaces,” Isr. Math. J.,9, 488–506 (1971).

    Google Scholar 

  7. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  8. V. A. Vinokurov and A. N. Plichko, “The regularizability of linear inverse problems by linear methods,” Dokl. Akad. Nauk SSSR,229, No. 5, 1037–1040 (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 427–433, July–August, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gladun, L.V., Plichko, A.N. Normalizing and strongly normalizing subspaces of a conjugate Banach space. Ukr Math J 36, 344–348 (1984). https://doi.org/10.1007/BF01066551

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01066551

Keywords

Navigation