Threads in compact semigroups.
Robert J. Koch (1964/65)
Mathematische Zeitschrift
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Robert J. Koch (1964/65)
Mathematische Zeitschrift
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Albert R. Stralka (1969)
Mathematische Zeitschrift
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Olaf Tamaschke (1968)
Mathematische Zeitschrift
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Bernhard H. Neumann (1970)
Mathematische Zeitschrift
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B. M. Schein (1974)
Colloquium Mathematicae
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Ralph deLaubenfels (1990)
Mathematische Zeitschrift
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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.
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.
Anzelm Iwanik (1977)
Colloquium Mathematicae
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J. Gilewski (1972)
Colloquium Mathematicae
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Michael Friedberg (1971)
Mathematische Zeitschrift
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J.M.A.M. van Neerven (1993)
Mathematische Zeitschrift
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J. P. Holmes (1974)
Colloquium Mathematicae
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P.S. Venkatesan (1966)
Mathematische Zeitschrift
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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.
Kar-Ping Shum, Lan Du, Yuqi Guo (2010)
Discussiones Mathematicae - General Algebra and Applications
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Green's relations and their generalizations on semigroups are useful in studying regular semigroups and their generalizations. In this paper, we first give a brief survey of this topic. We then give some examples to illustrate some special properties of generalized Green's relations which are related to completely regular semigroups and abundant semigroups.