scholarly journals Remarks on enveloping semigroups

2020 ◽  
Vol 48 (5) ◽  
pp. 2092-2109
Author(s):  
Mahir Bilen Can
Keyword(s):  
Enveloping Semigroups

The enveloping semigroup of projective flows

1993 ◽  
Vol 13 (4) ◽  
pp. 635-660 ◽  
Author(s):  
Robert Ellis
Keyword(s):  
Projective Space ◽  
Enveloping Semigroup ◽  
Dynamical Properties ◽  
Enveloping Semigroups

AbstractThe enveloping semigroup of a flow (X, T) has been used to study its dynamical properties. In this paper a detailed study is made of the class of enveloping semigroups which arise in the study of flows where T is a subgroup of GL(V) and X is the associated projective space, P(V).

scholarly journals On metrizable enveloping semigroups

2008 ◽  
Vol 164 (1) ◽  
pp. 317-332 ◽  
Author(s):  
Eli Glasner ◽  
Michael Megrelishvili ◽  
Vladimir V. Uspenskij
Keyword(s):  
Enveloping Semigroups

Continuity properties of compact right topological groups

1979 ◽  
Vol 86 (3) ◽  
pp. 427-435 ◽  
Author(s):  
Paul Milnes
Keyword(s):  
Almost Periodic ◽  
Periodic Functions ◽  
Topological Groups ◽  
Almost Automorphic ◽  
Almost Automorphic Function ◽  
Almost Automorphic Functions ◽  
Continuity Properties ◽  
Enveloping Semigroups ◽  
The One ◽  
Automorphic Functions

AbstractCompact right topological groups appear naturally in topological dynamics. Some continuity properties of the one arising as an enveloping semigroup from the distal function are considered here (and, by way of comparison, the enveloping semigroups arising from two almost automorphic functions are discussed). The continuity properties are established either explicitly or by citing a theorem which is proved here and gives some characterizations of almost periodic functions. One characterization is proved using the result (essentially due to W. A. Veech) that a distal, almost automorphic function is almost periodic. A proof of this last result is also given.

scholarly journals Enveloping semigroups and quasi-discrete spectrum

2015 ◽  
Vol 36 (8) ◽  
pp. 2627-2660 ◽  
Author(s):  
JUHO RAUTIO
Keyword(s):  
Discrete Spectrum ◽  
American Mathematical Society ◽  
Natural Generalization ◽  
Minimal System ◽  
Topological Groups ◽  
Open Problems ◽  
Universal System ◽  
Infinite Dimensional ◽  
Enveloping Semigroups ◽  
The One

The structures of the enveloping semigroups of certain elementary finite- and infinite-dimensional distal dynamical systems are given, answering open problems posed in 1982 by Namioka [Ellis groups and compact right topological groups. Conference in Modern Analysis and Probability (New Haven, CT, 1982) (Contemporary Mathematics, 26). American Mathematical Society, Providence, RI, 1984, 295–300]. The universal minimal system with (topological) quasi-discrete spectrum is obtained from the infinite-dimensional case. It is proved that, on the one hand, a minimal system is a factor of this universal system if and only if its enveloping semigroup has quasi-discrete spectrum and that, on the other hand, such a factor need not have quasi-discrete spectrum in itself. This leads to a natural generalization of the property of having quasi-discrete spectrum, which is named the ${\mathcal{W}}$-property.

Enveloping semigroups of unipotent affine transformations of the torus

2010 ◽  
Vol 30 (5) ◽  
pp. 1543-1559 ◽  
Author(s):  
RAFAŁ PIKUŁA
Keyword(s):  
Nilpotent Group ◽  
Nilpotency Class ◽  
Affine Transformations ◽  
Dimensional Torus ◽  
Constant Vector ◽  
Finite Dimensional ◽  
Enveloping Semigroup ◽  
Lower Triangular ◽  
Enveloping Semigroups

AbstractWe provide a description of the enveloping semigroup of the affine unipotent transformation T:X→X of the form T(x)=Ax+α, where A is a lower triangular unipotent matrix, α is a constant vector, and X is a finite-dimensional torus. In particular, we show that in this case the enveloping semigroup is a nilpotent group whose nilpotency class is at most the dimension of the underlying torus.

scholarly journals Enveloping semigroups and mappings onto the two-shift

1998 ◽  
Vol 126 (3) ◽  
pp. 899-905 ◽  
Author(s):  
Kenneth Berg ◽  
David Gove ◽  
Kamel Haddad
Keyword(s):  
Enveloping Semigroups
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