Results 111 to 120 of about 141,848 (276)

A stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups

open access: yesElectronic Journal of Differential Equations, 2006
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

open access: yesمجلة بغداد للعلوم
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
doaj   +1 more source

The Ellis semigroup of a nonautonomous discrete dynamical system

open access: yes, 2016
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  

Absorption semigroups, their generators, and Schrödinger semigroups

open access: yesJournal of Functional Analysis, 1986
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.
openaire   +2 more sources

Representations of a semigroup [PDF]

open access: yesTransactions of the American Mathematical Society, 1965
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 ...
openaire   +3 more sources

Bands of semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1954
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 ...
openaire   +2 more sources

The radicals of a semigroup [PDF]

open access: yesTransactions of the American Mathematical Society, 1975
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.
openaire   +2 more sources

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