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Naoki Tanaka (2003)
Studia Mathematica
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A class of perturbing operators for locally Lipschitz continuous integrated semigroups is introduced according to the idea of Miyadera. The paper gives perturbation theorems of Miyadera type for such integrated semigroups.
R. Grimmer, J.H. Liu (1994)
Semigroup forum
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Jacek Banasiak, Mirosław Lachowicz (2007)
Studia Mathematica
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We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in l₁ can be generalized to a larger class of the so-called Kantorovich-Banach spaces. We also present a number of related generation results that can be proved using positivity methods, as well as some examples.
Elisabetta M. Mangino, Alfredo Peris (2011)
Studia Mathematica
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We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral. This criterion can be verified in certain cases in terms of the infinitesimal generator of the semigroup. Applications are given for semigroups generated by Ornstein-Uhlenbeck operators, and especially for translation semigroups on weighted...
Miao Li, Quan Zheng (2003)
Studia Mathematica
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We investigate the relations between local α-times integrated semigroups and (α + 1)-times integrated Cauchy problems, and then the relations between global α-times integrated semigroups and regularized semigroups.
M. Hieber, A. Holderrieth, F. Neubrander (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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N. Tanaka (1990)
Semigroup forum
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J. P. Holmes (1974)
Colloquium Mathematicae
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Ralph deLaubenfels (1990)
Mathematische Zeitschrift
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R. de Laubenfels (1990)
Semigroup forum
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B. M. Schein (1974)
Colloquium Mathematicae
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D.R. Brown, J.A. Hildebrant (1990)
Semigroup forum
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A. Batbedat, J.B. Fountain (1981)
Semigroup forum
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Attila Nagy, Csaba Tóth (2023)
Commentationes Mathematicae Universitatis Carolinae
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We study the right regular representation of special Rees matrix semigroups over semigroups, and discuss their embedding in idempotent-free left simple semigroups.
Bálint Farkas (2004)
Studia Mathematica
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The notion of bi-continuous semigroups has recently been introduced to handle semigroups on Banach spaces that are only strongly continuous for a topology coarser than the norm-topology. In this paper, as a continuation of the systematic treatment of such semigroups started in [20-22], we provide a bounded perturbation theorem, which turns out to be quite general in view of various examples.