Results 1 to 10 of about 215 (160)
Supermixing and hypermixing of strongly continuous semigroups and their direct sum
Journal of Taibah University for Science, 2021 Supermixing and hypermixing strongly continuous semigroups are introduced in this paper. It is proved that supermixing preserves under quasiconjugacy. Moreover, it is established that if a strongly continuous semigroup is supermixing(hypermixing), then ...
Mansooreh Moosapoor
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On the Adjoint of a Strongly Continuous Semigroup [PDF]
Abstract and Applied Analysis, 2008 Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy of l1; we also prove the strong continuity away from zero of the ...
Diómedes Bárcenas +1 more
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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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Stabilized approximations of strongly continuous semigroups
Journal of Mathematical Analysis and Applications, 2008 Let \(A\) be the generator of a strongly continuous semigroup \(T(\cdot)\) on a Banach space \(X\) (not necessarily analytic) and let \(V(t) = r(tA)\) be an approximation scheme to the exponential defined by an \(\mathcal{A}\)-stable rational function (such as the backward Euler scheme, the Crank-Nicolson or some Padé approximant). As is well known, an
Frank Neubrander
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Strongly continuous semigroups on some Fréchet spaces
Journal of Mathematical Analysis and Applications, 2014 6 ...
Leonhard Frerick +2 more
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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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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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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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Composition Semigroups on Weighted Bergman Spaces Induced by Doubling Weights
Journal of Mathematics, 2021 We prove that composition semigroups are strongly continuous on weighted Bergman spaces with doubling weights. Point spectra and compact resolvent operators of infinitesimal generators of composition semigroups are characterized.
Fanglei Wu
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Ces\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane
Communications in Advanced Mathematical Sciences, 2023 We construct a Ces\`{a}ro-type operator acting on Dirichlet space of the upper half plane using the approach of strongly continuous semigroups of composition operators on Banach spaces.
Job Bonyo, David Ambogo, Effie Oyugi
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