Skip to main content
Log in

Multiplicative representations of some bisymmetric matrix functions

  • 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. M. S. Brodskii, Triangular and Jordan Representations of Linear Operators [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  2. V. I. Godich, “Invariant subspaces of completely continuous bisymmetric operators,” Ukrainsk. Matem. Zh.,18, No. 3 (1966).

  3. V. I. Godich, Dokl. Akad. Nauk, UkrSSR, Ser. A, No. 12 (1969).

  4. M. S. Livshits, Operators, Oscillations, Waves [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  5. V. I. Godich, “Criteria for bisymmetry of completely continuous operators,” Ukrainsk. Matem. Zh.,21, No. 6 (1969).

  6. I. V. Kovalishina, “Multiplicative structure of analytic reactive matrix functions,” Izv. Akad. Nauk Arm. SSR,19, No. 2 (1966).

  7. V. P. Potapov, “General theorems on structure and splitting of elementary factors of analytic reactive matrix functions,” Dokl. Akad. Nauk Arm. SSR,48, No. 5 (1969).

  8. A. V. Efimov, “An application of a theorem of Lanzheven in the theory of circuits,” Dokl. Akad. Nauk Arm. SSR.,49, No. 3 (1969).

  9. A. V. Efimov and V. P. Potapov, “J-expanding matrix functions and their role in the analytic theory of electrical circuits,” Ukrainsk. Matem. Zh.,28, No. 1 (169) (1973).

  10. I. Ts. Gokhberg and M. G. Krein, The Theory of Volterra Operators in Hilbert Space and Applications [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  11. V. I. Godich and I. E. Lutsenko, “Representation of unitary operators in the form of a product of two involutions,” Ukrainsk. Matem. Zh.,20, No. 6 (126) (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 169–178, March–April, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Godich, V.I. Multiplicative representations of some bisymmetric matrix functions. Ukr Math J 26, 138–145 (1974). https://doi.org/10.1007/BF01085712

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085712

Keywords

Navigation