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Bisymmetric matrix nodes. (English. Russian original) Zbl 0523.45008
Sib. Math. J. 23, 623-640 (1983); translation from Sib. Mat. Zh. 23, No. 5, 52-62 (1982).
MSC:
45P05 Integral operators
47B25 Linear symmetric and selfadjoint operators (unbounded)
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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References:
[1] I. Ts. Gokhberg (I. C. Gohberg) and M. G. Krein, Theory and Applications of Volterra Operators in Hilbert Space, Am. Math. Soc., Providence (1970). · Zbl 0194.43804
[2] V. Ya. Yakubovich and V. M. Starzhinskii, Linear Differential Equations with Periodic Coefficients, Vol. 1 and 2, Wiley, New York (1975).
[3] D. Z. Arov, ?The realization of a canonical system with a dissipative boundary condition at one end of the segment in terms of coefficient of dynamic pliability,? Sib. Mat. Zh.,16, No. 3, 440-463 (1975).
[4] M. S. Brodskii, Triangular and Jordan Representations of Linear Operators, Am. Math. Soc., Providence (1971).
[5] V. I. Godich, ?On invariant subspaces of completely continuous bisymmetric operators?, Ukr. Mat. Zh.,18, No. 3, 103-107 (1966). · Zbl 0156.15201
[6] V. I. Godich, ?A criterion for the (I1, I2)-unicellularity of (I1, I2)-bisymmetric operators,? Dokl. Akad. Nauk USSR, Ser. A, No. 12, 1066-1069 (1969).
[7] V. I. Godich, ?Multiplicative representations of certain bisymmetric matrix-functions,? Ukr. Mat. Zh.,26, No. 2, 169-178 (1974).
[8] V. I. Godich and I. E. Lutsenko, ?On the representation of a unitary operator in the form of a product of two involutions,? Usp. Mat. Nauk,20, No. 6, 64-65 (1965). · Zbl 0144.17602
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