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On operator R-functions. (English. Russian original) Zbl 0234.47015

Sib. Math. J. 12, 315-322 (1971); translation from Sib. Mat. Zh. 12, 442-451 (1971).

MSC:

47A56 Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)
47A10 Spectrum, resolvent
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References:

[1] N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space [in Russian], Nauka, Moscow (1966). · Zbl 0098.30702
[2] I. S. Kats and M. G. Krein, ?R-functions, i.e., analytic functions that map the upper half-plane into itself,? Supplement I to F. Atkinson’s book, Discrete and Continuous Boundary-Value Problems, [in Russian], Mir, Moscow (1968).
[3] Yu. L. Shmul’yan, ?Two-sided division in an operator ring,? Matem. Zametki, No. 5, 605-610 (1967).
[4] I. S. Kats, ?Two general theorems on the asymptotic behavior of spectral functions of second-order differential systems,? Izv. AN SSSR, Ser. Matem.,26, 53-78 (1962).
[5] Sh. N. Saakyan, ?On the theory of resolvents of a symmetrical operator with infinite defect numbers,? Dokl. AN ArmSSR,41, No. 4, 113-198 (1965).
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