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Introduction to semigroup theory
2007In this paper some basic system theoretic concepts will be introduced for abstract systems of the form $$\dot x\left( t \right) = Ax\left( t \right) + Bu\left( t \right), x\left( 0 \right) = x^0 , y\left( t \right) = Cx\left( t \right)$$ (1) Here A is the infinitesimal generator of a strongly continuous semigroup S(t) on a Banach space Z and ...
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Semigroups and Perturbation Theory
1978A semigroup may be defined as a subset of a group which contains the unit and is closed under multiplication. But the only one to be considered in this chapter is that of all non-negative reals, as a subset of the group of all real numbers under addition. This is the basic case for extension to Lie semigroups, just as the theory of one-parameter groups
Irving E. Segal, Ray A. Kunze
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Semigroups in Probability Theory
1991Semigroups are very natural and general structures and enter our mathematical life from the very beginning (N with respect to addition, multiplication, maximum or minimum, sets with respect to union or intersection). Due to their simple axioms they are very often and easily found.
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The Application of Semigroup Theory
1977The skeleton key which brings order out of all this chaos is the theory of semigroups; its application to Markov processes was developed in the early 1950’s, with W. Feller doing the pioneering work.
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Fundamentals of Semigroup Theory
1995Abstract This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics. It clearly emphasizes "pure" semigroup theory, in particular the various classes of regular semigroups.
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Techniques of Semigroup Theory
1992Abstract This book introduces recently developed ideas and techniques in semigroup theory to provide a handy reference guide previously unavailable in a single volume. The opening chapter provides sufficient background to enable the reader to follow any of the subsequent chapters, and would by itself be suitable for a first course in ...
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Dilation theory for right LCM semigroup dynamical systems
Journal of Mathematical Analysis and Applications, 2022Marcelo Laca, Boyu Li
exaly
A unitary Cuntz semigroup for C⁎-algebras of stable rank one
Journal of Functional Analysis, 2021Laurent Cantier
exaly
Singular perturbation and semigroup theory
Lecture Notes in Mathematics, 1976Tosio Kato, Kato Tosio
exaly

