Literature cited
N. K. Nikol'skii, “Spectral analysis on the unitary spectrum; the point spectrum,” Dokl. Akad. Nauk SSSR,199, No. 3, 544–547 (1971).
S. B. Stechkin, “Comment on a theorem of Jackson,” Trudy MIAN,88, 17–19 (1967).
N. P. Kuptsov, “Direct and converse theorems of approximation theory and operator semigroups,” Usp. Matem. Nauk,23, No. 4(142), 117–178 (1968).
M. I. Kadets, “Bases and their spaces of coefficients,” Dokl. Akad. Nauk Ukr. SSR,9, 1139–1141 (1964).
R. Goodman, “Invariant subspaces for normal operators,” J. Math. Mech.,15, No. 1, 123–128 (1966).
D. Sarason, “Invariant subspaces and unstarred operator algebras,” Pacific J. Math.,17, No. 3, 511–518 (1966).
A. S. Markus, L. N. Nikol'skaya, and N. K. Nikol'skii, “Unitary spectrum of a contraction in Banach space,” this volume, p. 112.
Bui Min Chi and V. I. Gurarii, “Certain characteristics of normed spaces and their application to the generalization of the Parseval identity to Banach spaces,” in: Theory of Functions, Functional Analysis, and Their Applications [in Russian], Vol. 8, KhGU, Kharkov (1969), pp. 74–91.
N. K. Bari [Bary], Trigonometric Series, Pergamon (1964).
E. M. Semenov, “Interpolation of linear operators in symmetric spaces,” Dokl. Akad. Nauk SSSR,164, No. 4, 746–769 (1965).
O. Szasz, “Über die Fourierscher Reihen gewisser Funktionenklassen,” Math. Ann.,100, 530–536 (1928).
N. K. Nikol'skii, “Multiple shift operator with simple spectrum,” Seminars in Mathematics, Consultants Bureau, New York (1972), pp. 132–136.
K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall (1962).
N. K. Nikol'skii, “Spaces and algebras of Toeplitz matrices acting in ℓρ,” Sibirsk. Matem. Zh.,7, No. 1, 146–158 (1966).
A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press (1959).
N. Wiener and H. R. Pitt, “On absolutely convergent Fourier-Stieltjes transforms,” Duke Math. J.,4, 420–436 (1938).
Y. Katznelson, An Introduction to Harmonic Analysis, New York (1968).
I. M. Gel'fand, Ts. A. Raikov, and G. E. Shilov, Commutative Normed Rings [in Russian], Fizmatgiz, Moscow (1960).
S. Igari, “Functions of Lρ-multipliers,” Tohoku Math. J.,21, No. 2, 304–320 (1969).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 22, pp. 75–88, 1971.
Rights and permissions
About this article
Cite this article
Nikol'skii, N.K. Spectral analysis on the unitary spectrum; The point spectrum. Part II. J Math Sci 2, 120–130 (1974). https://doi.org/10.1007/BF01099670
Issue Date:
DOI: https://doi.org/10.1007/BF01099670