On the spectra of $C_ {11}$-contractions
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- by H. Bercovici and L. Kérchy PDF
- Proc. Amer. Math. Soc. 95 (1985), 412-418 Request permission
Abstract:
We give a complete characterization of the closed subsets of the complex plane that can serve as spectra of completely nonunitary contractions of class ${C_{11}}$.References
- Hari Bercovici and László Kérchy, Quasisimilarity and properties of the commutant of $C_{11}$-contractions, Acta Sci. Math. (Szeged) 45 (1983), no. 1-4, 67–74. MR 708772
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
- G. Eckstein, On the spectrum of contractions of class $C_{\cdot 1}$, Acta Sci. Math. (Szeged) 39 (1977), no. 3-4, 251–254. MR 493440
- C. Foiaş and W. Mlak, The extended spectrum of completely non-unitary contractions and the spectral mapping theorem, Studia Math. 26 (1966), 239–245. MR 200722, DOI 10.4064/sm-26-3-239-245
- G. M. Goluzin, Geometric theory of functions of a complex variable, Translations of Mathematical Monographs, Vol. 26, American Mathematical Society, Providence, R.I., 1969. MR 0247039, DOI 10.1090/mmono/026
- László Kérchy, On the commutant of $C_{11}$-contractions, Acta Sci. Math. (Szeged) 43 (1981), no. 1-2, 15–26. MR 621349
- L. Kérchy, On invariant subspace lattices of $C_{11}$-contractions, Acta Sci. Math. (Szeged) 43 (1981), no. 3-4, 281–293. MR 640305
- Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
- Béla Sz.-Nagy and Ciprian Foiaş, Corrections et compléments aux Contractions. IX, Acta Sci. Math. (Szeged) 26 (1965), 193–196 (French). MR 196502 —, Harmonic analysis of operators on Hilbert space, North-Holland, Amsterdam 1970.
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 412-418
- MSC: Primary 47A20; Secondary 47A10, 47A45
- DOI: https://doi.org/10.1090/S0002-9939-1985-0806079-9
- MathSciNet review: 806079