Results 111 to 120 of about 141,848 (276)
Ordered commutative semigroups of the second kind [PDF]
A. H. Clifford
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It is known that a regularly Lyapounov function for a semigroup of contractions on a Hilbert space converges to its minimum along the trajectories of the semigroup.
Renu Choudhary
doaj
Recurrency on the Space of Hilbert-Schmidt Operators
In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
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The Ellis semigroup of a nonautonomous discrete dynamical system
We introduce the {\it Ellis semigroup} of a nonautonomous discrete dynamical system $(X,f_{1,\infty})$ when $X$ is a metric compact space. The underlying set of this semigroup is the pointwise closure of $\{f\sp{n}_1 \, |\, n\in \mathbb{N}\}$ in the ...
García-Ferreira, S., Sanchis, M.
core
A note on the structure of commutative semigroups [PDF]
Katsumi Numakura
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Absorption semigroups, their generators, and Schrödinger semigroups
To find a general solution for the heat equation with absorption- excitation, \[ u_ t=()\Delta u-Vu,\quad u(0)=u_ 0,\quad in\quad L_ p({\mathbb{R}}^{\nu}) \] with a ``bad'' \(V: {\mathbb{R}}^{\nu}\to {\mathbb{R}}\), it seems natural to try to approximate V by \(L_{\infty}\)-functions and find out whether the corresponding semigroups converge.
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Representations of a semigroup [PDF]
In this paper we shall first define the radical of a semigroup S and investigate some of its properties. Just as in the case of rings, one finds that the radical of a semigroup is a quasi-regular two-sided ideal which contains each quasi-regular right ideal of the semigroup and that the radical of a semigroup contains each nil right ideal of the ...
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Remarks on Primitive Idempotents in Compact Semigroups with Zero [PDF]
Robert J. Koch
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In studying a general semigroup S, a natural thing to do is to decompose 5 (if possible) into the class sum of a set {Sa; aCl} of mutually disjoint subsemigroups Sa such that (1) each Sa belongs to some more or less restrictive type 13 of semigroup, and (2) the product SaSfi of any two of them is wholly contained in a third: SaSpClSy, for some yCI ...
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The radicals of a semigroup [PDF]
This paper investigates various radicals and radical congruences of a semigroup. A strongly prime ideal is defined. It is shown that the nil radical of a semigroup is the intersection of all strongly prime ideals of the semigroup. Furthermore, a semigroup with zero element is nil if and only if it has no strongly prime ideals.
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