On a representation of semigroups by products of algebras and relations
Jiří Adámek, Václav Koubek (1977)
Colloquium Mathematicae
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Jiří Adámek, Václav Koubek (1977)
Colloquium Mathematicae
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Stephen T.L. Choy (1977)
Mathematische Annalen
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B.M. Schein (1970)
Semigroup forum
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Isabelle Chalendar, Jean Esterle, Jonathan R. Partington (2010)
Banach Center Publications
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The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.
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.
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.
B. M. Schein (1974)
Colloquium Mathematicae
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Zsolt Páles (1989)
Aequationes mathematicae
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J. Gilewski (1972)
Colloquium Mathematicae
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Anzelm Iwanik (1977)
Colloquium Mathematicae
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J.M.A.M. van Neerven (1990)
Mathematische Annalen
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Donald Z. Spicer (1973)
Colloquium Mathematicae
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J. P. Holmes (1974)
Colloquium Mathematicae
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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.
A. Jabbari, T. Mehdi Abad, M. Zaman Abadi (2011)
Colloquium Mathematicae
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Generalizing the concept of inner amenability for Lau algebras, we define and study the notion of φ-inner amenability of any Banach algebra A, where φ is a homomorphism from A onto ℂ. Several characterizations of φ-inner amenable Banach algebras are given.
F. H. Szafraniec (1984)
Colloquium Mathematicae
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