Literature cited
A. K. Kitover, “Isometric operators in C and uniqueness sets,” Funktional. Analiz i Ego Prilozhen.,4, No. 1, 92–93 (1970).
J. Wermer, “The existence of invariant subspaces,” Duke Math. J.,19, No. 4, 615–622 (1952).
E. Bishop, “A duality theorem for an arbitrary operator,” Pacific J. Math.,9, No. 2, 379–397 (1959).
Yu. I. Lyubich and V. I. Matsaev, “Operators having a separable spectrum,” Matem. Sborn.,56, No. 4, 435–468 (1962).
C. Foias, “Spectral maximal spaces and decomposable operators in Banach space,” Arch. Math.,14, Nos. 4–5, 341–349 (1963).
U. Fixman, “Problems in spectral operators,” Pacific J. Math.,9, No. 4, 1029–1051 (1959).
K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall (1962).
N. K. Bari [Bary], A Treatise on Trigonometric Series, Pergamon, New York (1964).
V. P. Khavin, “Separation of the singularities of analytic functions,” Dokl. Akad. Nauk SSSR,121, No. 2, 239–242 (1958).
K. Kuratowski, Topology, Vol. 1, Academic Press (1966).
A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 1, Nauka, Moscow (1967).
G. M. Fikhtengol'ts, Course in Differential and Integral Calculus [in Russian], Vol. 3, Fizmatgiz, Moscow (1966).
J. P. Kahane and R. Salem, Ensembles Parfaites et Series Trigonometriques, Hermann, Paris (1963).
N. Dunford and J. T. Schwartz, Linear Operators, Vol. 1: General Theory, Interscience (1958).
V. I. Gurarii and V. I. Matsaev, “Power sets with gaps in spaces C andL p ,” Izv. Akad. Nauk SSSR,30, No. 1, 3–14 (1966).
G. M. Fikhtengol'ts, Course in Differential and Integral Calculus [in Russian], Vol. 2, Fizmatgiz, Moscow (1966).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol 22, pp. 47–64, 1971.
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Kitover, A.K. Spectral properties of unitary operators in C-space. J Math Sci 2, 99–111 (1974). https://doi.org/10.1007/BF01099668
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DOI: https://doi.org/10.1007/BF01099668