Conway, John B.; Morrel, Bernard B. Operators that are points of spectral continuity. II. (English) Zbl 0468.47001 Integral Equations Oper. Theory 4, 459-503 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 14 Documents MSC: 47A10 Spectrum, resolvent 47A55 Perturbation theory of linear operators Keywords:essential spectrum; approximate point spectrum; change of spectrum under perturbation Citations:Zbl 0419.47001 PDFBibTeX XMLCite \textit{J. B. Conway} and \textit{B. B. Morrel}, Integral Equations Oper. Theory 4, 459--503 (1981; Zbl 0468.47001) 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.