Results 11 to 20 of about 491,446 (159)
HYPERCYCLIC COMPOSITION OPERATORS
Journal of Vasyl Stefanyk Precarpathian National University, 2015 In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions.
Z.H. Mozhyrovska
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Sums of hypercyclic operators [PDF]
Journal of Functional Analysis, 2003 A (bounded) operator \(T\) on a complex infinite-dimensional separable Banach space \(X\) is said to be hypercyclic if there is a (hypercyclic) vector \(x \in X\) such that its orbit \(O(T,x):=\{x,Tx,T^2x,\dots\}\) is dense in \(X\). The operator \(T\) is called chaotic if it is hypercyclic and the set of periodic points of \(T\) is dense in \(X ...
Grivaux, Sophie
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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
Bayart, F., Moreau, P., Matheron, É.
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Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity [PDF]
Ergodic Theory and Dynamical SystemsAbstract We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity. This notion is useful for the study of the dynamical properties of direct sums of operators; in particular, a basic observation is that the direct sum of ...
Bayart, Frédéric +3 more
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Convolution operators and the discrete Laplacian [PDF]
, 2009 PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
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Notes on the Hypercyclic Operator
Journal of Mathematical Extension, 2008 In this paper by using a nice criterion, we show that the perturbation of identity operators by some multiples of the standard backward shift is hypercyclic. This gives a new proof for Salas Theorem in ( [10 ], Theorem 3.3).
H. Rezaei
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On invertible hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 1992 Let A A be an invertible (bounded linear) operator acting on a complex Banach space
Herrero, Domingo A., Kitai, Carol
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Multiples of hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2008 We give a negative answer to a question of Prăjitură by showing that there exists an invertible bilateral weighted shift T T
Badea, Catalin +2 more
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Frequently hypercyclic operators [PDF]
Transactions of the American Mathematical Society, 2006 We investigate the subject of linear dynamics by studying the notion of frequent hypercyclicity for bounded operators T T ...
Bayart, Frédéric, Grivaux, Sophie
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Hypercyclic Toeplitz Operators [PDF]
Results in Mathematics, 2016 Minor corrections.
Anton Baranov, Andrei Lishanskii
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