Literature cited
M. S. Brodskii, Triangular and Jordan Representations of Linear Operators [in Russian], Nauka, Moscow (1969).
V. I. Godich, “Invariant subspaces of completely continuous bisymmetric operators,” Ukrainsk. Matem. Zh.,18, No. 3 (1966).
V. I. Godich, Dokl. Akad. Nauk, UkrSSR, Ser. A, No. 12 (1969).
M. S. Livshits, Operators, Oscillations, Waves [in Russian], Nauka, Moscow (1966).
V. I. Godich, “Criteria for bisymmetry of completely continuous operators,” Ukrainsk. Matem. Zh.,21, No. 6 (1969).
I. V. Kovalishina, “Multiplicative structure of analytic reactive matrix functions,” Izv. Akad. Nauk Arm. SSR,19, No. 2 (1966).
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).
A. V. Efimov, “An application of a theorem of Lanzheven in the theory of circuits,” Dokl. Akad. Nauk Arm. SSR.,49, No. 3 (1969).
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).
I. Ts. Gokhberg and M. G. Krein, The Theory of Volterra Operators in Hilbert Space and Applications [in Russian], Nauka, Moscow (1967).
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).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 169–178, March–April, 1974.
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01085712