Results 51 to 60 of about 184 (111)

Dynamique des opérateurs sur les Grassmanniennes

, 2013
This dissertation deals with some recent notions of linear dynamics of subspaces. In the first part, we provide a detailed study of n-supercyclicity and strong n-supercyclicicty in the finite dimensional setting.
Ernst, Romuald
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Weak l-sequential supercyclicity and weak quasistability

It is known that supercyclicity implies strong stability. It is not known whether weak l-sequential supercyclicity implies weak stability. In this paper we prove that weak l-sequential supercyclicity implies weak quasistability.
Duggal, B. P., Kubrusly, C. S.
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Strongly $n$-supercyclic operators

, 2012
In this paper, we are interested in the properties of a new class of operators, recently introduced by Shkarin, called strongly $n$-supercyclic operators. This notion is stronger than $n$-supercyclicity.
Ernst Romuald, Ernst, Romuald
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Super-Shadowing and Supercyclicity

Mediterranean Journal of Mathematics
We introduce the super-shadowing property in linear dynamics, where pseudotrajectories are approximated by sequences of the form $(λ_nT^nx)$, with $(λ_n)_n$ being complex scalars. For compact operators on Banach spaces, we characterize the operators that possess the positive super-shadowing property and the positive limit super-shadowing property ...
Cabezas, Eric, Saavedra, Manuel
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Non-sequential weak supercyclicity and hypercyclicity

, 2007
A bounded linear operator T acting on a Banach space B is called weakly hypercyclic if there exists x∈B such that the orbit {Tnx:n=0,1,…} is weakly dense in B and T is called weakly supercyclic if there is x∈B for which the projective orbit {λTnx:λ∈C,n=0,
Shkarin, Stanislav
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The positive supercyclicity theorem

, 2004
V Curso Espacios de Banach y Operadores. Laredo, Agosto de 2003We present some recent results related with supercyclic operators, also some of its consequences.Presentamos algunos resultados recientes relacionados con los operadores supercíclicos, así ...
León Saavedra, Fernando
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Common supercyclic vectors for a path of operators

, 2008
We examine common supercyclic vectors for a path of operators. In particular, we show that the path consisting of convex combinations of two arbitrary unilateral weighted backward shifts has a dense Gδ set of common supercyclic vectors. Moreover, we show
Kit C. Chan, Rebecca Sanders, Chan, Kit C., Sanders, Rebecca   +3 more
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Mini-Workshop: Hypercyclicity and Linear Chaos

, 2006
The mini-workshop was devoted to the study of hypercyclic and chaotic operators within the wider framework of linear dynamical systems. Topics discussed included common hypercyclic vectors; hypercyclic and supercyclic subspaces; extensions of ...

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Spectra and dynamics of generalized Cesàro operators in (LF) and (PLB) sequence spaces [PDF]

In this paper, we introduce inductive limits of the Fréchet spaces l(p+), ces(p+), and d(p+) (1 ...
Vicente Asensio, Angela A. Albanese
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Weak Stability and Quasistability

It is known that weak l-sequential supercyclicity implies weak quasistability, and it is still unknown weather weak l-sequential supercyclicity implies weak stability, much less whether weak supercyclicity implies weak stability (although it is known for
Vieira, P. C. M., Kubrusly, C. S.
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