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Direct integrals of strongly continuous operator semigroups

Journal Article


Abstract


  • The goal of this article is to develop a theory for direct integrals of C0-semigroups on Hilbert spaces parallel to the recent approach by Lachowicz and Moszyński for direct sums of Banach spaces, diagonal operators, and semigroups. In it we deal with the existence and characterisation of semigroups, asymptotic rates, and questions of decomposability.

Publication Date


  • 2020

Citation


  • Ng, A. C. S. (2020). Direct integrals of strongly continuous operator semigroups. Journal of Mathematical Analysis and Applications, 489(2). doi:10.1016/j.jmaa.2020.124176

Scopus Eid


  • 2-s2.0-85083902956

Volume


  • 489

Issue


  • 2

Abstract


  • The goal of this article is to develop a theory for direct integrals of C0-semigroups on Hilbert spaces parallel to the recent approach by Lachowicz and Moszyński for direct sums of Banach spaces, diagonal operators, and semigroups. In it we deal with the existence and characterisation of semigroups, asymptotic rates, and questions of decomposability.

Publication Date


  • 2020

Citation


  • Ng, A. C. S. (2020). Direct integrals of strongly continuous operator semigroups. Journal of Mathematical Analysis and Applications, 489(2). doi:10.1016/j.jmaa.2020.124176

Scopus Eid


  • 2-s2.0-85083902956

Volume


  • 489

Issue


  • 2