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One dimensional perturbations of restricted shifts. (English) Zbl 0252.47010

47A55 Perturbation theory of linear operators
30D55 \(H^p\)-classes (MSC2000)
47B20 Subnormal operators, hyponormal operators, etc.
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
Full Text: DOI
[1] P. R. Ahern and D. N. Clark, Radial limits and invariant subspaces,Amer. J. Math.,92 (1970), 332–342. · Zbl 0197.39202
[2] P. R. Ahern and D. N. Clark, On functions orthogonal to invariant subspaces,Acta Math.,124 (1970), 191–204. · Zbl 0193.10201
[3] P. Colwell, On the boundary behavior of Blaschke products in the unit disk,Proc. Amer. Math. Soc.,17 (1966), 582–587. · Zbl 0146.10002
[4] R. G. Douglas, Structure theory for operators,I, J. Reine Angew. Math.,252 (1968), 189–193.
[5] O. Frostman, Sur Les produits de Blaschke,Kungl. Fysiogr. Sällsk. Lund Förh.,12 (1942), 169–182.
[6] H. Helson, Lectures on invariant subspaces, Academic Press, New York, 1964. · Zbl 0119.11303
[7] T. Kato, Perturbation theory for linear operators, Springer-Verlag, New York, 1966. · Zbl 0148.12601
[8] T. L. Kriete, III, Complete non-selfadjointness of almost selfadjoint operators, to appear.
[9] M. Lee and D. Sarason, The spectra of some Toeplitz operators,J. Math. Anal. Appl.,33 (1971), 529–543. · Zbl 0206.13702
[10] C. R. Putnam, Commutation properties of Hilbert space operators, Springer Verlag, New York, 1967. · Zbl 0149.35104
[11] F. Riesz and B. Sz. Nagy, Functional analysis, Frederick Ungar, New York, 1955. · Zbl 0070.10902
[12] D. Sarason, A remark on the Volterra operator,J. Math. Anal. Appl.,12 (1965), 244–246. · Zbl 0138.38801
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