A. Manoussos
Properness, Cauchy-indivisibility and the Weil completion of a group of isometries.
Wed, 05/04/2011 - 15:01 — SomNambulAuthors: A. Manoussos, P. Strantzalos
Subjects: General Topology
AbstractIn this paper we introduce a new class of metric actions on separable (not
necessarily connected) metric spaces called "Cauchy-indivisible" actions. This
new class coincides with that of proper actions on locally compact metric
spaces and, as examples show, it may be different in general. The concept of
"Cauchy-indivisibility" follows a more general research direction proposal in
which we investigate the impact of basic notions in substantial results, like
the impact of local compactness and connectivity in the theory of proper
transformation groups.On the minimal number of matrices which form a locally hypercyclic, non-hypercyclic tuple.
Mon, 10/05/2009 - 20:24 — SomNambulAuthors: G. Costakis, D. Hadjiloucas, A. Manoussos
Subjects: Functional Analysis
AbstractIn this paper we extend the notion of a locally hypercyclic operator to that
of a locally hypercyclic tuple of operators. We then show that the class of
hypercyclic tuples of operators forms a proper subclass to that of locally
hypercyclic tuples of operators. What is rather remarkable is that in every
finite dimensional vector space over $\mathbb{R}$ or $\mathbb{C}$, a pair of
commuting matrices exists which forms a locally hypercyclic, non-hypercyclic
tuple.On the minimal number of matrices which form a locally hypercyclic, non-hypercyclic tuple.
Mon, 10/05/2009 - 20:24 — SomNambulAuthors: G. Costakis, D. Hadjiloucas, A. Manoussos
Subjects: Functional Analysis
AbstractIn this paper we extend the notion of a locally hypercyclic operator to that
of a locally hypercyclic tuple of operators. We then show that the class of
hypercyclic tuples of operators forms a proper subclass to that of locally
hypercyclic tuples of operators. What is rather remarkable is that in every
finite dimensional vector space over $\mathbb{R}$ or $\mathbb{C}$, a pair of
commuting matrices exists which forms a locally hypercyclic, non-hypercyclic
tuple.
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