Results 71 to 80 of about 1,297 (140)
Rolewicz-type chaotic operators
, 2015 In this article we introduce a new class of Rolewicz-type operators in l_p, $1 \le p < \infty$. We exhibit a collection F of cardinality continuum of operators of this type which are chaotic and remain so under almost all finite linear combinations ...
Bongiorno, D. +2 more
core +1 more source
Dynamics, Operator Theory, and Infinite Holomorphy
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris +3 more
wiley +1 more source
Dynamics of differentiation operators on generalized weighted Bergman spaces
Open Mathematics, 2014 The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous.
Zhang Liang, Zhou Ze-Hua
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Porosity and hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2005 We study if the set of hypercyclic vectors of a hypercyclic operator is the complement of a σ \sigma -porous set. This leads to interesting results for both points of view: a limitation of the size of hypercyclic vectors, and new examples of first category sets which are not σ \sigma -porous.
openaire +2 more sources
Hypercyclic sequences of operators [PDF]
Studia Mathematica, 2006 A sequence (Tn) of bounded linear operators between Banach spaces X,Y is said to be hypercyclic if there exists a vector x ∈ X such that the orbit {Tnx} is dense in Y . The paper gives a survey of various conditions that imply the hypercyclicity of (Tn) and studies relations among them.
León-Saavedra, F. +1 more
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Вестник Донского государственного технического университета, 2018 We give representation of linea continuous operator, commutating with Dankle differentiation. These operators turn out to be chaotic and hypercyclic.
A.V. BRATISHCHEV
doaj
On subspace-hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2011 In this paper we study an operator T T on a Banach space E E which is M M -hypercyclic for some subspace M M of E E . We give a sufficient condition for such an operator to be M M -hypercyclic and use it to answer negatively two questions asked by ...
openaire +1 more source
Advanced Engineering Research, 2009 We give representation of linea continuous operator, commutating with Dankle differentiation. These operators turn out to be chaotic and hypercyclic.
A.V. BRATISHCHEV
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Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent
Abstract and Applied Analysis, 2011 Suppose that X is a separable normed space and the operators A and Q are bounded on X. In this paper, it is shown that if AQ=QA, A is an isometry, and Q is a nilpotent then the operator A+Q is neither supercyclic nor weakly hypercyclic. Moreover, if the
S. Yarmahmoodi +2 more
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Invertible Subspace-Hypercyclic Operators
Journal of Mathematical Extension, 2015 A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic.
S. Talebi, B. Yousefi, M. Asadipour
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