Densely hereditarily hypercyclic sequences and large hypercyclic manifolds
نویسندگان
چکیده
منابع مشابه
Dynamical System and Semi-Hereditarily Hypercyclic Property
In this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the Hypercyclicity Criterion. We characterize topological transitivity and semi-hereiditarily of a dynamical system given by an n-tuple of operators acting on a separable infinite dimensional Banach space .
متن کاملHypercyclic Behaviour of Operators in a Hypercyclic C0-Semigroup
Let {Tt}t≥0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t > 0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors with the semigroup. This answers in the affirmative a natural question concerning hypercyclic C0-semigroups. The analogous result for frequent hypercyclicity is also obtained.
متن کاملdynamical system and semi-hereditarily hypercyclic property
in this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the hypercyclicity criterion. we characterize topological transitivity and semi-hereiditarily of a dynamical system given by an n-tuple of operators acting on a separable infinite dimensional banach space .
متن کاملSmall sets and hypercyclic vectors
We study the “smallness” of the set of non-hypercyclic vectors for some classical hypercyclic operators.
متن کاملA Universal Hypercyclic Representation
For any countable group, and also for any locally compact second countable, compactly generated topological group, G, we show the existence of a “universal” hypercyclic (i.e. topologically transitive) representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of G.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-05185-0