Natural definition of entropy of semigroups
Krystyna Ziemian (1982)
Colloquium Mathematicae
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Krystyna Ziemian (1982)
Colloquium Mathematicae
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Ernst Eberlein (1975)
Publications mathématiques et informatique de Rennes
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Z. Hedrlin, J. Kastl (1971)
Semigroup forum
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Xiaohui Gu, Miao Li, Falun Huang (2002)
Studia Mathematica
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We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z₀, in case of R(C) being non-dense. Analogous results are obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.
S.D. Hippisley-Cox (1994)
Semigroup forum
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Jacek Serafin (2009)
Fundamenta Mathematicae
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We prove that by considering a finitary (almost continuous) symbolic extension of a topological dynamical system instead of a continuous extension, one cannot achieve any drop of the entropy of the extension.
Aleksander Całka (1987)
Colloquium Mathematicae
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J.S. Pym, A. Forouzanfar (1991)
Semigroup forum
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John Rhodes (1969-1970)
Séminaire Dubreil. Algèbre et théorie des nombres
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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...
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.
M. Mislove, J.F. Berglund (1972)
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.
Chivukula, R. Rao (1981)
Portugaliae mathematica
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Shoufeng Wang (2017)
Open Mathematics
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As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature. In particular, Gomes and Gould construct a fundamental Ehresmann semigroup CE from a semilattice E which plays for Ehresmann semigroups the role that TE plays for inverse semigroups, where TE is the Munn semigroup of a semilattice E. From a varietal perspective, Ehresmann semigroups are derived from reduction...
S. Armstrong (1984)
Semigroup forum
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Sheng Wang Wang (2002)
Studia Mathematica
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Motivated by a great deal of interest recently in operators that may not be densely defined, we deal with regularized semigroups and integrated semigroups that are either not exponentially bounded or not defined on [0,∞) and generated by closed operators which may not be densely defined. Some characterizations and related examples are presented. Our results are extensions of the corresponding results produced by other authors.
S. Satoh, K. Yama, M. Tokizawa (1994)
Semigroup forum
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