The stable rank of a nest algebra and strong stabilization of linear time-varying systems

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Abstract

It is shown that the stable rank of a continuous time nest algebra is infinite. From this it follows that there exist stabilizable continuous time systems which are not strongly stabilizable.

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Feintuch, A. (2010). The stable rank of a nest algebra and strong stabilization of linear time-varying systems. In Operator Theory: Advances and Applications (Vol. 197, pp. 139–148). Springer International Publishing. https://doi.org/10.1007/978-3-0346-0183-2_7

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