The Cayley transform of Banach algebras

Zhidong Pan

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-2

Abstract:

The main result of Haynes (1991) is that a square matrix is convergent ( lim n → ∞ D n = 0 ) if and only if it is the Cayley transform C A = ( I − A ) − 1 ( I + A ) of a stable matrix A . In this note, we show, with a simple proof, that the above is true in a much more general setting of complex Banach algebras.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:687830

DOI: 10.1155/S0161171202007962

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