Book Review
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Book Information:
Authors:
Roland Hagen,
Steffen Roch and
Bernd Silbermann
Title:
Spectral theory of approximation methods for convolution equations
Additional book information:
Operator Theory: Advances and Applications, vol. 74, Birkhäuser Verlag,
Basel, Boston, and Berlin,
1995,
xii + 373 pp.,
ISBN 3-7643-5112-8,
$124.00$
Albrecht Böttcher and Bernd Silbermann, Analysis of Toeplitz operators, Springer-Verlag, Berlin, 1990. MR 1071374, DOI 10.1007/978-3-662-02652-6
I. Ts. Gokhberg and I. A. Fel′dman, Uravneniya v svertkakh i proektsionnye metody ikh resheniya, Izdat. “Nauka”, Moscow, 1971 (Russian). MR 0355674
Steffen Roch and Bernd Silbermann, Algebras of convolution operators and their image in the Calkin algebra, Report MATH, vol. 90, Akademie der Wissenschaften der DDR, Karl-Weierstrass-Institut für Mathematik, Berlin, 1990. With a German summary. MR 1085952
S. Prössdorf and B. Silbermann, Projektionsverfahren und die näherungsweise Lösung singulärer Gleichungen, B.G. Teubner Verlagsgesellschaft, Leipzig, 1977.
Hidegorô Nakano, Über Abelsche Ringe von Projektionsoperatoren, Proc. Phys.-Math. Soc. Japan (3) 21 (1939), 357–375 (German). MR 94
- A. Böttcher and B. Silbermann, Analysis of Toeplitz operators, Akademie-Verlag, Berlin, 1989, and Springer-Verlag, New York, 1990.
- I. Gohberg and I.A. Feldman, Convolution equations and projection methods for their solution, Transl. of Math. Monographs, vol. 41, Amer. Math. Soc., Providence, R.I., 1974 [Russian original: Nauka, Moscow, 1971]. 8149
- S. Roch and B. Silbermann, Algebras of convolution operators and their image in the Calkin algebra, Report R-Math-05/90, Karl-Weierstrass-Institute, Berlin, 1990.
- S. Prössdorf and B. Silbermann, Projektionsverfahren und die näherungsweise Lösung singulärer Gleichungen, B.G. Teubner Verlagsgesellschaft, Leipzig, 1977.
- —, Numerical analysis for integral and related operator equations, Akademie-Verlag, Berlin, 1991, and Birkhäuser Verlag, Basel, Boston, Stuttgart, 1991.
Review Information:
Reviewer:
Albrecht Böttcher
Affiliation:
Technische Universität Chemnitz-Zwickau
Email:
aboettch@mathematik.tu-chemnitz.de
Journal:
Bull. Amer. Math. Soc.
33 (1996), 237-243
DOI:
https://doi.org/10.1090/S0273-0979-96-00638-6
Review copyright:
© Copyright 1996
American Mathematical Society