Results 21 to 30 of about 475 (70)
Conditions for hypercyclicity criterion
International Journal of Contemporary Mathematical Sciences, 2006 We give necessary and sufficient conditions for an operator on a separable Hilbert space satisfies the Hypercyclicity Criterion.
B. Yousefi, H. Rezaei
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Frequently hypercyclic translation semigroups [PDF]
, 2014 Frequent hypercyclicity for translation $C_0$-semigroups on weighted spaces of continuous functions is investigated. The results are achieved by establishing an analogy between frequent hypercyclicity for the translation semigroup and for weighted pseudo-
Mangino, Elisabetta M. +1 more
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A probabilistic version of the Frequent Hypercyclicity Criterion [PDF]
Studia Mathematica, 2006 For a bounded operator T on a separable infinite-dimensional Banach space X, we give a "random" criterion not involving ergodic theory which implies that T is frequently hypercyclic: there exists a vector x such that for every non-empty open subset U of X, the set of integers n such that Tnx belongs to U, has positive lower density ...
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Strongly mixing convolution operators on Fr\'echet spaces of holomorphic functions [PDF]
, 2014 A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of ...
Muro, Santiago +2 more
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A criterion of p -hypercyclically embedded subgroups of finite groups
Journal of Algebra, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Su, Ning, Li, Yangming, Wang, Yanming
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On the Hypercyclicity Criterion for operators of Read's type [PDF]
, 2019 Let $T$ be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that $T\oplus T$ is then hypercyclic, i.e. that $T$ satisfies the Hypercyclicity Criterion.
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Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata +2 more
wiley +1 more source
A hypercyclicity criterion for non-metrizable topological vector spaces [PDF]
Functiones et Approximatio Commentarii Mathematici, 2018 We provide a sufficient condition for an operator $T$ on a non-metrizable and sequentially separable topological vector space $X$ to be sequentially hypercyclic. This condition is applied to some particular examples, namely, a composition operator on the space of real analytic functions on $]0,1[$, which solves two problems of Bonet and Domański \cite ...
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S‐Mixing Tuple of Operators on Banach Spaces
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We consider the question: what is the appropriate formulation of Godefroy‐Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S‐mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S‐mixing.
Wei Wang +3 more
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Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces. In particular, we prove that under some conditions a translation operator is bounded and hypercyclic.
Zoryana Mozhyrovska +2 more
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