This is a preview of subscription content, log in via an institution to check access.
Literature Cited
V. I. Matsaev and Y. A. Palant, "On the powers of a bounded dissipative operator," Ukr. Mat. Zh.,14, No. 3, 329–337 (1962).
M. Sh. Birman, L. S. Koplinko, and M. Z. Solomyak, "Estimates of the spectrum of a difference of fractional powers of selfadjoint operators," Izv. Vyssh. Uchebn. Zaved., Mat.,154, No. 3, 3–10 (1975).
I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators [in Russian], Nauka, Moscow (1965).
S. N. Naboko, "Estimates in symmetrically-normed ideals for a difference of powers of accretive operators," Vestn. Leningr. Gos. Univ., Ser. 1,2, No. 8, 40–45 (1988).
B. Sz.-Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space, North-Holland Publ. Co., Amsterdam—London, American Elsevier Publ. Co., New York (1970).
W. F. Donoghue, Jr., Monotone Matrix Functions and Analytic Continuation, Springer-Verlag, Berlin, etc. (1974).
S. N. Naboko, "On the boundary values of analytic operator-functions with a positive imaginary part," Zap. Nauch. Semin. LOMI,157, 55–69 (1987).
S. N. Naboko, "Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model," Arkiv för Matematik,25, No. 1, 115–140 (1987).
I. Ts. Gokhberg and M. G. Krein, Theory of Volterra Operators in Hilbert Space and Its Applications [in Russian], Nauka, Moscow (1967).
J. L. van Hemmen and T. Ando, "An inequality for trace ideals," Commun. in Math. Phys.,76, No. 2, 143–148 (1980).
R. I. Powers and E. Stormer, "Free states of the canonical anticommutation relations," Commun. Math. Phys.,16, No. 1, 1–33 (1970).
V. V. Peller, "Hankel operators in the perturbation theory of unitary and selfadjoint operators," Funkts. Anal. Prilozhen.,19, No. 2, 37–51 (1985).
F. V. Atkinson, Discrete and Continuous Boundary Problems, Academic Press, New York—London (1964).
S. G. Krein, Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).
T. Kato, Perturbation Theory for Linear Operators, Springer—Verlag, Berlin, etc. (1966).
J. B. Garnett, Bounded Analytic Functions, Academic Press, New York (1981).
A. P. Calderón, "Spaces between L1 and L∞ and the theorem of Marcinkiewicz," Studia Math.,26, No. 3, 273–299 (1966).
S. Yu. Rotfel'd, "Analogues of the interpolation theorems of Mityagin and Semenov for operators in non-normed symmetric spaces," Probl. Mat. Anal., Izd. Leningr. Gos. Univ., No. 4, 106–114 (1973).
A. Zygmund, Trigonometric Series, Cambridge University Press, London—New York (1959).
M. Sh. Birman and S. B. Éntina, "The stationary method in the abstract theory of scattering," Izv. Akad. Nauk SSSR, Ser. Mat.,31, No. 2, 401–430 (1967).
E. M. Stein and G. Weiss, Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N. J. (1971).
Additional information
Leningrad State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 24, No. 3, pp. 26–35, July–September, 1990.
Rights and permissions
About this article
Cite this article
Naboko, S.N. Estimates in operator classes for a difference of functions, from the pick class, of accretive operators. Funct Anal Its Appl 24, 187–195 (1990). https://doi.org/10.1007/BF01077959
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01077959