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Truncated Toeplitz operators on the polydisk

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Abstract

We establish a criterion for the applicability of the finite section method to Toeplitz operators with continuous matrix-symbols on the Bergman space of the polydisk.

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References

  1. Böttcher, A., Silbermann, B.: Invertibility and Asymptotics of Toeplitz Matrices. Berlin: Akademie-Verlag. 1983.

    Google Scholar 

  2. Böttcher, A., Silbermann, B.: Analysis of Toeplitz Operators. Berlin: Akademie-Verlag. 1988.

    Google Scholar 

  3. Coburn, L. A.: Singular integral operators and Toeplitz operators on odd spheres. Indiana Univ. Math. J.23, 433–439 (1973).

    Google Scholar 

  4. Douglas, R. G., Howe, R.: On the C*-algebra of Toeplitz operators on the quarter-plane. Trans. Amer. Math. Soc.158, 203–217 (1971).

    Google Scholar 

  5. Gohberg, I., Feldman, I. A.: Faltungsgleichungen und Projektionsverfahren zu ihrer Lösung. Berlin: Akademie-Verlag. 1974.

    Google Scholar 

  6. Kozak, A. V.: On the finite section method for multidimensional discrete convolutions. Mat. Issled.8 (29), 157–160 (1973) [Russian].

    Google Scholar 

  7. Pilidi, V. S.: On multidimensional bisingular operators. Dokl. Akad. Nauk SSSR201, 787–789 (1971) [Russian].

    Google Scholar 

  8. Simonenko, I. B.: On multidimensional discrete convolutions. Mat. Issled.1(3), 108–122 (1968) [Russian].

    Google Scholar 

  9. Trujillo, R.: On some algebras generated by multidimensional Toeplitz operators. Sibir. Mat. Zh.27, 105–116 (1986) [Russian].

    Google Scholar 

  10. Widom, H.: Asymptotic behavior of block Toeplitz matrices and determinants II. Adv. in Math.21, 1–29 (1976).

    Google Scholar 

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Böttcher, A. Truncated Toeplitz operators on the polydisk. Monatshefte für Mathematik 110, 23–32 (1990). https://doi.org/10.1007/BF01571274

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