This is a preview of subscription content, log in via an institution to check access.
Literature Cited
J. Bram, “Subnormal operators,” Duke Math. J.,22, No. 1, 85–94 (1955).
W. R. Wogen, “On some operators with cyclic vectors,” Indiana Univ. Math. J.,27, No. 1, 163–171 (1978).
N. K. Nikol'skii, “Outlines for the computation of the multiplicities of the spectra of orthogonal sums,” J. Sov. Math.,27, No. 1 (1984).
B. M. Solomyak, “On the multiplicity of the spectrum of analytic Toeplitz operators,” Dokl. Akad. Nauk SSSR,286, No. 6, 1308–1311 (1986).
A. L. Vol'berg and B. M. Solomyak, “The spectral multiplicity of Toeplitz operators, weighted cocyles, and the vector Riemann problem,” Funkts. Anal. Prilozhen.,21, No. 3, 1–11 (1987).
D. A. Herrero, “On the multiplicites of the powers of a Banach space operator,” Proc. Am. Math. Soc.,94, No. 2, 239–243 (1985).
G. M. Goluzin, Geometric Theory of Functions of a Complex Variable, Am. Math. Soc., Providence (1969).
G. Ts. Tumarkin and S. Ya. Khavinson, “On the definition of analytic functions of class EP in multiply connected domains,” Usp. Math. Nauk,13, No. 1, 201–206 (1958).
E. M. Dyn'kin, “Operator calculus based on the Cauchy-Green formula,” J. Sov. Math.,4, No. 4 (1975).
N. K. Nikol'skii, Treatise on the Shift Operator. Spectral Function Theory, Springer, Berlin (1986).
B. M. Solomjak, “Calculuses, annihilators and hyperinvariant subspaces,” J. Operator Theory,9, 341–370 (1983).
T. W. Gamelin, Uniform Algebras, Prentice-Hall, Englewood Cliffs (1969).
Additional information
Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 2, pp. 167–175, March–April, 1988.
Rights and permissions
About this article
Cite this article
Solomyak, B.M. Multiplicity, calculuses, and multiplication operators. Sib Math J 29, 293–300 (1988). https://doi.org/10.1007/BF00969742
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969742