Azoff, E.; Clancey, K.; Gohberg, I. On the spectra of finite-dimensional perturbations of matrix multiplication operators. (English) Zbl 0436.47042 Manuscr. Math. 30, 351-360 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 Documents MSC: 47Gxx Integral, integro-differential, and pseudodifferential operators 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 47A53 (Semi-) Fredholm operators; index theories 47A55 Perturbation theory of linear operators 45F15 Systems of singular linear integral equations 45B05 Fredholm integral equations 45P05 Integral operators Keywords:rational matrix functions; singular integral operators; Fredholm property; finite dimensional perturbation Citations:Zbl 0283.47025; Zbl 0315.47022 PDFBibTeX XMLCite \textit{E. Azoff} et al., Manuscr. Math. 30, 351--360 (1980; Zbl 0436.47042) Full Text: DOI EuDML References: [1] A. P. CALDERON, Cauchy integrals on Lipschitz curves and related operators, Proc. Nat. Acad. Sci. USA, 74 (1977), 1324-1327 · Zbl 0373.44003 · doi:10.1073/pnas.74.4.1324 [2] I. GOHBERG and I. A. FELDMAN, Projection methods for solving Weiner-Hopf equations, English transl., Math. monographs, vol. 41, Amer. Math. Soc., Providence, R. I., 1974 [3] I. GOHBERG and M. G. KREIN, The basic propositions on defect numbers, root numbers and indices of linear operators, Uspehi Mat. Nauk, 12 (1957), 43-118; (English transl., Amer. Math. Soc. Transl., 13 (1960), 185-264 [4] I. GOHBERG and N. Ya. KRUPNIK, Introduction to the theory of one-dimensional singular integral operators, German transl., Berkhauser Verlag, Basel, 1979 [5] G. HEINIG, On the inversion and on the spectrum of Weiner-Hopf matrix operators, Math. USSR Sbornik, 20 (1973), 267-281 · Zbl 0283.47025 · doi:10.1070/SM1973v020n02ABEH001874 [6] G. HEINIG, On the inversion and on the spectrum of matrix singular integral operators, Mat. Issled. 8 (1973), 106-121. (Russian) · Zbl 0315.47022 [7] N. I. MUSKHELISHVILI, Singular integral equations. Boundary problems of function theory and their application to mathematical physics, 2nd ed., Fizmatgiz, Moscow, 1962; English transl. of 1st ed., Noordhoff, Groningen, 1953; reprinted, 1972 · Zbl 0051.33203 [8] N. P. VEKUA, Systems of singular integral equations and some boundary problems, GITTL, Moscow, 1950. English transl., Noordhoff, Groningen, 1967 · Zbl 0045.34801 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.