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Volumn 30, Issue 4, 1998, Pages 452-495

Fredholm theory and finite section method for band-dominated operators

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EID: 0032441991     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01257877     Document Type: Article
Times cited : (100)

References (28)
  • 1
    • 0000782576 scopus 로고
    • C*-algebras and numerical linear algebra
    • W. ARVESON, C*-algebras and numerical linear algebra. - Journal Fctl. Analysis 122(1994), 333-360.
    • (1994) Journal Fctl. Analysis , vol.122 , pp. 333-360
    • Arveson, W.1
  • 2
    • 0013558273 scopus 로고
    • The role of C*-algebras in infinite dimensional numerical linear algebra
    • W. ARVESON, The role of C*-algebras in infinite dimensional numerical linear algebra. - Contemporary Mathematics 167(1994), 115-129.
    • (1994) Contemporary Mathematics , vol.167 , pp. 115-129
    • Arveson, W.1
  • 3
    • 0013485303 scopus 로고
    • Fredholm properties of band matrices and dichotomy
    • Topics in operator theory, The Constantin Apostol memorial issue ed. I. GOHBERG, Birkhäuser Verlag, Basel
    • A. BEN-ARTZI, I. GOHBERG, Fredholm properties of band matrices and dichotomy. - In: Topics in operator theory, The Constantin Apostol memorial issue (ed. I. GOHBERG, Operator Theory: Advances and Appl. 32, Birkhäuser Verlag, Basel 1988, 37-52.
    • (1988) Operator Theory: Advances and Appl. , vol.32 , pp. 37-52
    • Ben-Artzi, A.1    Gohberg, I.2
  • 4
    • 0003903670 scopus 로고
    • Akademie-Verlag, Berlin and Springer-Verlag, Berlin, Heidelberg, New York
    • A. BÖTTCHER, B. SILBERMANN, Analysis of Toeplitz operators. - Akademie-Verlag, Berlin 1989 and Springer-Verlag, Berlin, Heidelberg, New York 1990.
    • (1989) Analysis of Toeplitz Operators
    • Böttcher, A.1    Silbermann, B.2
  • 6
    • 0013556471 scopus 로고
    • On the invertibility of a class of Toeplitz operators on the quarter plane
    • R. G. DOUGLAS, On the invertibility of a class of Toeplitz operators on the quarter plane. - Ind. Univ. Math. J. 21(1972), 1031-1036.
    • (1972) Ind. Univ. Math. J. , vol.21 , pp. 1031-1036
    • Douglas, R.G.1
  • 7
    • 0000528504 scopus 로고
    • On the invertibility of a class of Toeplitz operators on the quarter plane
    • R. G. DOUGLAS, R. HOWE, On the invertibility of a class of Toeplitz operators on the quarter plane. - Transactions AMS 158(1971), 203-217.
    • (1971) Transactions AMS , vol.158 , pp. 203-217
    • Douglas, R.G.1    Howe, R.2
  • 8
    • 51249194812 scopus 로고
    • Sur les equations differentials a coefficients presque periodicues
    • J. FARVARD, Sur les equations differentials a coefficients presque periodicues. - Acta Math. 51(1927), 31-81.
    • (1927) Acta Math. , vol.51 , pp. 31-81
    • Farvard, J.1
  • 11
    • 0013549276 scopus 로고
    • Russian, Engl. transl.: Providence, R.I.
    • I. GOHBERG, I. FELDMAN, Convolution equations and projection methods for their solution. - Nauka, Moskva 1971 (Russian, Engl. transl.: Amer. Math. Soc. Transl. of Math. Monographs 41, Providence, R.I., 1974).
    • (1974) Amer. Math. Soc. Transl. of Math. Monographs , vol.41
  • 13
    • 0003051711 scopus 로고
    • Systems of integral equations on the semi-axis with kernels depending on the difference of the arguments
    • Russian
    • I. C. GOHBERG, M. G. KREIN, Systems of integral equations on the semi-axis with kernels depending on the difference of the arguments. - Uspekhi Mat. Nauk 13(1958), 2, 3-72 (Russian).
    • (1958) Uspekhi Mat. Nauk , vol.13 , pp. 2
    • Gohberg, I.C.1    Krein, M.G.2
  • 15
    • 0039005600 scopus 로고
    • A local principle in the theory of projection methods
    • Russian
    • A. V. KOZAK, A local principle in the theory of projection methods. - Dokl. AN SSSR 212(1973), 6, 1287-1289 (Russian).
    • (1973) Dokl. AN SSSR , vol.212 , pp. 6
    • Kozak, A.V.1
  • 16
    • 0013555543 scopus 로고
    • Projection methods for solving discrete convolution equations
    • Russian
    • A. V. KOZAK, I. B. SIMONENKO, Projection methods for solving discrete convolution equations. - Sib. Mat. J. 20(1979), 6, 1249-1260 (Russian).
    • (1979) Sib. Mat. J. , vol.20 , pp. 6
    • Kozak, A.V.1    Simonenko, I.B.2
  • 18
    • 0040465865 scopus 로고
    • On the Noether property of multidimensional discrete convolution operators
    • Russian
    • B. V. LANGE, V. S. RABINOVICH, On the Noether property of multidimensional discrete convolution operators. - Mat. zametki 37(1985), 3, 407-421 (Russian).
    • (1985) Mat. Zametki , vol.37 , pp. 3
    • Lange, B.V.1    Rabinovich, V.S.2
  • 20
    • 0013518917 scopus 로고
    • Solution of discrete Wiener-Hopf equations on the quarter plane
    • Russian
    • V. A. MALYSHEV, Solution of discrete Wiener-Hopf equations on the quarter plane. - Dokl. AN SSSR 187(1979), 1243-1246 (Russian).
    • (1979) Dokl. AN SSSR , vol.187 , pp. 1243-1246
    • Malyshev, V.A.1
  • 21
    • 0041060016 scopus 로고
    • On the invertibility of differential operators in partial derivatives of elliptic type
    • Russian
    • E. M. MUKHAMADIJEV, On the invertibility of differential operators in partial derivatives of elliptic type. - Dokl. AN SSSR 205(1972), 6, 1292-1295 (Russian).
    • (1972) Dokl. AN SSSR , vol.205 , pp. 6
    • Mukhamadijev, E.M.1
  • 23
    • 0003672446 scopus 로고
    • Akademie-Verlag, Berlin Engl. transl.: North Holland 1978, Russian transl.: Mir, Moskva 1979
    • S. PRÖSSDORF, Einige Klassen singulärer Gleichungen. - Akademie-Verlag, Berlin 1974. Engl. transl.: North Holland 1978, Russian transl.: Mir, Moskva 1979.
    • (1974) Einige Klassen Singulärer Gleichungen
    • Prössdorf, S.1
  • 26
    • 0000565666 scopus 로고
    • A new general method of investigating linear operator equations of the singular integral equation type, I
    • Russian
    • I. B. SIMONENKO, A new general method of investigating linear operator equations of the singular integral equation type, I. - Izv. AN SSSR, Ser. Mat., 3(1965), 567-586 (Russian).
    • (1965) Izv. AN SSSR, Ser. Mat. , vol.3 , pp. 567-586
    • Simonenko, I.B.1
  • 27
    • 0013501948 scopus 로고
    • On multidimensional discrete convolutions
    • Russian
    • I. B. SIMONENKO, On multidimensional discrete convolutions. - Mat. issled. 3(1968), 1, 108-127 (Russian).
    • (1968) Mat. Issled. , vol.3 , pp. 1
    • Simonenko, I.B.1


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