Results 61 to 70 of about 893 (111)
Common hypercyclic vectors for certain families of differential operators [PDF]
Illinois Journal of Mathematics, 2016 Let (k(n)) n=1,2,... be a strictly increasing sequence of positive integers . We consider a specific sequence of differential operators Tk(n), , n=1,2,... on the space of entire functions , that depend on the sequence (k(n)) n=1,2,... and the non-zero complex number .
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Lie applicable surfaces and curved flats. [PDF]
Manuscr Math, 2022 Burstall F, Pember M.
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Common hypercyclic vectors for families of backward shift operators [PDF]
Journal of Operator Theory, 2017 We provide necessary and sufficient conditions on the existence of common hypercyclic vectors for multiples of the backward shift operator along sparse powers. Our main result strongly generalizes corresponding results which concern the full orbit of the backward shift.
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The Specification Property for $C_0$-Semigroups
, 2018 We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly continuous one-parameter semigroups of ...
Bartoll, S. +3 more
core
Mean Li-Yorke chaos in Banach spaces
, 2018 We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics on compact metric spaces. We prove
Bernardes Jr., N. C. +2 more
core
On the set of hypercyclic vectors for the differentiation operator [PDF]
Israel Journal of Mathematics, 2010 Let $D$ be the differentiation operator $Df=f'$ acting on the Fr chet space $\H$ of all entire functions in one variable with the standard (compact-open) topology. It is known since 1950's that the set $H(D)$ of hypercyclic vectors for the operator $D$ is non-empty.
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Discrete cyclic systems and circle congruences. [PDF]
Ann Mat Pura Appl, 2022 Hertrich-Jeromin U, Szewieczek G.
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Invariant manifolds of hypercyclic vectors for the real scalar case [PDF]
Proceedings of the American Mathematical Society, 1999 We show that every hypercyclic operator on a real locally convex vector space admits a dense invariant linear manifold of hypercyclic vectors.
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Luh hypercyclic vector for composition operator
In this paper, we deal with the construction of holomorphic functions on a simply connected domain satisfying that all its derivatives and antiderivatives under a composition operator have a dense orbit. Such functions will be called Luh hypercyclic vectors for the respective composition operator.
Benchiheb, Otmane +3 more
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An operator on a separable Hilbert space with many hypercyclic vectors [PDF]
Studia Mathematica, 1987 Let T be a linear continuous operator acting in a Hilbert space H. A point \(x_ 0\in H\) is said to be cyclic if \(H=span(x_ 0,Tx_ 0,T\) \(2x_ 0,...)\) and hypercyclic if the orbit \((x_ 0,Tx_ 0,T\) \(2x_ 0,...)\) is dense in H. There is given a construction of a separable Hilbert space H (over complexes) and an operator T with a cyclic vector \(x_ 0\)
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