On operatorsT such thatf(T) is hypercyclic
نویسندگان
چکیده
منابع مشابه
Hypercyclic 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 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.
متن کاملOperators with Common Hypercyclic Subspaces
We provide a reasonable sufficient condition for a family of operators to have a common hypercyclic subspace. We also extend a result of the third author and A. Montes [22], thereby obtaining a common hypercyclic subspace for certain countable families of compact perturbations of operators of norm no larger than one.
متن کاملSmall sets and hypercyclic vectors
We study the “smallness” of the set of non-hypercyclic vectors for some classical hypercyclic operators.
متن کاملPerceptual Grouping Using Global Saliency -Enhancing Operatorst
We introduce saliency-enhancing operators capable of highlighting features which are considered perceptually relevant. We are able to extract salient curves and junctions ana' generate a description ranking these features by their likelihood of coming from the original scene. We suggest the global extenswnjleld as means of describing the behavior of a curve segment, in terms of its continuation...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2000
ISSN: 0378-620X,1420-8989
DOI: 10.1007/bf01194482