Abstract
The invertibility and Fredholm properties of a regular block band matrix are described in terms of the dichotomy of the companion sequence.
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References
A. Ben-Artzi and I. Gohberg, Inertia Theorems for Nonstationary Discrete Systems and Dichotomy, to appear.
A. Ben-Artzi and I. Gohberg, Extension of the Theorem of Krein on Orthogonal Polynomials for the Nonstationary Case, to appear.
C. de Boor, Dichotomies for Band Matrices, SIAM J. Numer. Anal. 17(6) (1980), pp. 894–907.
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Dedicated to the memory of Constantin Apostol.
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© 1988 Springer Basel AG
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Ben-Artzi, A., Gohberg, I. (1988). Fredholm Properties of Band Matrices and Dichotomy. In: Gohberg, I. (eds) Topics in Operator Theory. Operator Theory: Advances and Applications, vol 32. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5475-7_4
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DOI: https://doi.org/10.1007/978-3-0348-5475-7_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5477-1
Online ISBN: 978-3-0348-5475-7
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