Bulletin (New Series) of the American Mathematical Society

Finite sections of Segal-Bargmann space Toeplitz operators with polyradially continuous symbols

Albrecht Böttcher and Hartmut Wolf
Source: Bull. Amer. Math. Soc. (N.S.) Volume 25, Number 2 (1991), 365-372.
First Page: Show Hide
Primary Subjects: 47B35
Secondary Subjects: 45L05
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bams/1183657184
Mathematical Reviews number (MathSciNet): MR1090404
Zentralblatt MATH identifier: 0751.47010

References

1. S. Axler, Bergman spaces and their operators, Surveys of Some Recent Results in Operator Theory, Pitman Res. Notes, vol. 171, Longman, 1988, pp. 1-50.
Zentralblatt MATH: 0681.47006
Mathematical Reviews (MathSciNet): MR958569
2. C. A. Berger and L. A. Coburn, Toeplitz operators and quantum mechanics, J. Funct. Anal. 68 (1986), 273-299.
Zentralblatt MATH: 0629.47022
Mathematical Reviews (MathSciNet): MR859136
Digital Object Identifier: doi:10.1016/0022-1236(86)90099-6
3. C. A. Berger and L. A. Coburn, Toeplitz operators on the Segal-Bargmann space, Trans. Amer. Math. Soc. 301 (1987), 813-829.
Zentralblatt MATH: 0625.47019
Mathematical Reviews (MathSciNet): MR882716
Digital Object Identifier: doi:10.1090/S0002-9947-1987-0882716-4
4. A. Böttcher, Truncated Toeplitz operators on the polydisk, Monatsh. Math. 110 (1990), 23-32.
Zentralblatt MATH: 0727.47012
Mathematical Reviews (MathSciNet): MR1072725
Digital Object Identifier: doi:10.1007/BF01571274
5. A. Böttcher and B. Silbermann, The finite section method for Toeplitz operators on the quarter-plane with piecewise continuous symbols, Math. Nachr. 110 (1983), 279-291.
Zentralblatt MATH: 0549.47010
Mathematical Reviews (MathSciNet): MR721280
Digital Object Identifier: doi:10.1002/mana.19831100120
6. A. Böttcher and B. Silbermann, Analysis of Toeplitz operators, Akademie-Verlag, 1989 and Springer-Verlag, 1990.
Zentralblatt MATH: 0732.47029
Mathematical Reviews (MathSciNet): MR1071374
7. R. G. Douglas and R. Howe, On the C*-algebra of Toeplitz operators on the quarter-plane, Trans. Amer. Math. Soc. 158 (1971), 203-217.
Zentralblatt MATH: 0224.47015
Mathematical Reviews (MathSciNet): MR288591
8. I. Gohberg and I. A. Feldman, Convolution equations and projection methods for their solution, Transl. Math. Monographs, vol. 41, Amer. Math. Soc., Providence, RI, 1974.
Zentralblatt MATH: 0278.45008
Mathematical Reviews (MathSciNet): MR355675
9. A. V. Kozak, On the finite section method for multidimensional discrete convolutions, Mat. Issled. 8 (29) (1973), 157-160. (Russian)
Zentralblatt MATH: 0313.44013
Mathematical Reviews (MathSciNet): MR336426
10. V. S. Pilidi, On multidimensional bisingular operators, Dokl. Akad. Nauk SSSR 201 (1971), 787-789. (Russian)
Zentralblatt MATH: 0239.47024
Mathematical Reviews (MathSciNet): MR301578
11. I. B. Simonenko, On multidimensional discrete convolutions, Mat. Issled. 1 (3) (1968), 108-122. (Russian)
Zentralblatt MATH: 0254.47034
Mathematical Reviews (MathSciNet): MR257763
12. H. Widom, Asymptotic behavior of block Toeplitz matrices and determinants II, Adv. in Math. 21 (1976), 1-29.
Zentralblatt MATH: 0344.47016
Mathematical Reviews (MathSciNet): MR409512
Digital Object Identifier: doi:10.1016/0001-8708(76)90113-4

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Bulletin (New Series) of the American Mathematical Society

Bulletin (New Series) of the American Mathematical Society

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