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math.FA2020
A categorical approach to operator semigroups
Abraham C. S. Ng
The aim of this paper is to exploit the structure of strongly continuous operator semigroups in order to formulate a categorical framework in which a fresh perspective can be appli…
math.FA2020
Optimal rates of decay in the Katznelson-Tzafriri theorem for operators on Hilbert spaces
Abraham C. S. Ng, David Seifert
The Katznelson-Tzafriri theorem is a central result in the asymptotic theory of discrete operator semigroups. It states that for a power-bounded operator on a Banach space we h…
math.FA2019
Direct integrals of strongly continuous operator semigroups
Abraham C. S. Ng
The goal of this article is to develop a theory for direct integrals of -semigroups on Hilbert spaces parallel to the recent approach by Lachowicz and Moszyński for direct sum…