Results 121 to 130 of about 217 (161)
Strongly continuous semigroups on some Fréchet spaces
Journal of Mathematical Analysis and Applications, 2014 6 ...
Leonhard Frerick +2 more
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On the Asymptotic Behavior of Perturbed Strongly Continuous Semigroups
Mathematische Nachrichten, 2001The author considers a strongly continuous semigroup with generator \(A\) on a Banach space and an \(A\)-bounded perturbation \(B\). He characterizes the norm continuity and compactness of the terms in the Dyson-Phillips series of a perturbed semigroup.
Simon Brendle
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On a hypercylicity criterion for strongly continuous semigroups
Discrete and Continuous Dynamical Systems, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Direct integrals of strongly continuous operator semigroups [PDF]
Journal of Mathematical Analysis and Applications, 2020 The goal of this article is to develop a theory for direct integrals of $C_0$-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 ...
Abraham C S Ng
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On the perturbation theory for strongly continuous semigroups
Mathematische Annalen, 1977 The main purpose of this note is to prove Miyadera's theorem on perturbations of semigroup generators (Miyadera [4]; see Remark 2, c) below) under reduced assumptions. In our proof we obtain the perturbed semigroup by an iteration similar to the iteration used in the proof for bounded perturbations.
Jürgen Voigt, Voigt Jürgen
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Strongly continuous dual semigroups
Annali di Matematica Pura ed Applicata, 1996The authors restrict the adjoint \(A'\) of a generator A of a strongly continuous semigroup on a Banach space \(X\) to certain closed subspaces E of \(F'\) and show, under appropriate conditions, that this restriction is a generator. The main part of the paper consists of applications to elliptic operators with boundary conditions.
Amann, Herbert, Escher, Joachim
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On super-recurrence of strongly continuous semigroup
Advances in Operator Theory, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amouch, Mohamed, Hassani, Halima
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C-semigroups and strongly continuous semigroups
Israel Journal of Mathematics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periods of strongly continuous semigroups
Bulletin of the London Mathematical Society, 2011In this paper, we study the set of periods of (chaotic) strongly continuous semigroups. We prove a relationship between eigenvalues on the imaginary axis of the generator of a strongly continuous semigroup and the set of periods of the semigroup itself.
Gustavo A. Muñoz-Fernández +2 more
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Distributional chaos for strongly continuous semigroups of operators
Communications on Pure and Applied Analysis, 2013 Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional chaos on the point spectrum of the generator of the semigroup is presented. An application to the semigroup generated in L-2 (R) by
Angela A Albanese +2 more
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