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Operators that are points of spectral continuity. II. (English) Zbl 0468.47001


MSC:

47A10 Spectrum, resolvent
47A55 Perturbation theory of linear operators

Citations:

Zbl 0419.47001
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Full Text: DOI

References:

[1] C. Apostol, ”The correction by compact perturbation of the singular behavior of operators,”Rev. Roum. Math. Pures et Appl., 21(1976), 155–175. · Zbl 0336.47012
[2] C. Apostol, C. Foias, and D. Voiculescu, ”Some results on non-quasitriangular operators, II,”Rev. Roum. Math. Pures et Appl., 18(1973), 159–181. · Zbl 0264.47005
[3] C. Apostol, C. Foias, and D. Voiculescu, ”Some results on non-quasitriangular operators, III,”Rev. Roum. Math. Pures et Appl., 18(1973), 309–324. · Zbl 0264.47006
[4] C. Apostol, C. Foias, and D. Voiculescu, ”Some results on non-quasitriangular operators, IV,”Rev. Roum. Math. Pures et Appl., 18(1973), 487–514. · Zbl 0264.47007
[5] C. Apostol and B. Morrel, ”On uniform approximation of operators by simple models,”Indiana University Math J., 26(1977), 427–442. · Zbl 0356.47011 · doi:10.1512/iumj.1977.26.26033
[6] I.D. Berg, ”An extension of the Weyl-von Neumann Theorem to normal operators,”Trans. Amer. Math. Soc., 160(1971), 365–371. · Zbl 0212.15903 · doi:10.1090/S0002-9947-1971-0283610-0
[7] J.B. Conway and B.B. Morrel, ”Operators that are points of spectral continuity,”Integral Eqs. and Operator Theory, 2(1979), 174–198. · Zbl 0419.47001 · doi:10.1007/BF01682733
[8] R.G. Douglas,Banach Algebra Techniques in Operator Theory, Academic Press, New York (1972). · Zbl 0247.47001
[9] R.G. Douglas and C. Pearcy, ”A note on quasitriangular operators,”Duke Math. J., 37(1970), 177–188. · Zbl 0194.43901 · doi:10.1215/S0012-7094-70-03724-5
[10] R.G. Douglas and C. Pearcy, ”Invariant subspaces of nonquasitriangular operators,”Proc. Conf. on Operator Theory, Springer-Verlag Lecture Notes, vol. 345, (1973), 13–57. · Zbl 0264.47008
[11] P.A. Fillmore, J.G. Stampfli, and J.P. Williams, ”On the essential numerical range, the essential spectrum, and a problem of Halmos,”Acta Sci. Math. (Szeged), 33(1972), 179–192. · Zbl 0246.47006
[12] P.R. Halmos,A Hilbert Space Problem Book, D. Van Nostrand Co., Inc., Princeton (1967).
[13] P.R. Halmos and G. Lumer, ”Square roots of operators, II,”Proc. Amer. Math. Soc., 5(1954), 589–595. · Zbl 0057.09904 · doi:10.1090/S0002-9939-1954-0062953-5
[14] K. Kuratowski,Topology, vol. I, Academic Press, New York (1966).
[15] J.S. Lancaster, ”Lifting from the Calkin Algebra,” Indiana University Ph.D. Dissertation (1972).
[16] J.G. Stampfli, ”Compact perturbations, normal eigenvalues, and a problem of Salinas,”J. London Math. Soc., 9(1974), 165–175. · Zbl 0305.47010 · doi:10.1112/jlms/s2-9.1.165
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