Abstract
It is convenient for later generalizations to reformulate Krein’s Theorem in two ways. The first reformulation, which is presented in Section 2.1, involves replacing the number of zeros in the unit disk of a polynomial p n by the codimension of the range of an infinite Toeplitz matrix built from the coefficients of p n .
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© 2003 Springer Basel AG
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Ellis, R.L., Gohberg, I. (2003). Reformulations of Krein’s Theorem. In: Orthogonal Systems and Convolution Operators. Operator Theory: Advances and Applications, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8045-9_2
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DOI: https://doi.org/10.1007/978-3-0348-8045-9_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9418-0
Online ISBN: 978-3-0348-8045-9
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