Abstract
Interest in extending the classical equivalence theory for matrices over the algebra of complex polynomials to matrices over the disc algebra H∞ arose from the Jordan model theory of class Co operators on Hilbert space. This extension was accomplished by E.A. Nordgren with the help of the new concept of quasi-equivalence. We are going to present this theory in a new form, based upon a useful generalization of a lemma of M.J. Sherman on H∞ functions.
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References
Sz.-Nagy, B. — Foiaş, C., Harmonic Analysis of Operators on Hilbert Space. North Holland-Akadémiai Kiadó (Amsterdam — Budapest, 1970), Chapter III; or
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Sz.-Nagy, B., Diagonalization of matrices over H ∞. Acta Sci. Math., 38. (1976), 223–238.
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© 1978 Birkhäuser Verlag Basel
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Sz.-Nagy, B. (1978). Diagonalization of Matrices over H∞ . In: Butzer, P.L., Szökefalvi-Nagy, B. (eds) Linear Spaces and Approximation / Lineare Räume und Approximation. International Series of Numerical Mathematics / Intermationale Schriftenreihe zur Numberischen Mathematik / Sùrie Internationale D’analyse Numùruque, vol 40. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7180-8_6
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DOI: https://doi.org/10.1007/978-3-0348-7180-8_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-0979-4
Online ISBN: 978-3-0348-7180-8
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