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Common hypercyclic vectors for certain families of differential operators. If you are already logged in, then you may need to update your profile to register your subscription. Google Scholar Project Euclid. In mathematics , especially functional analysis , a hypercyclic operator on a Banach space X is a bounded linear operator T: Cyclic vectors, hypercyclic and chaotic operators.

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Cyclic vectors, hypercyclic and chaotic operators Citation Tsirivas, N. Cyclic vectors, hypercyclic and chaotic operators. In other words, the smallest closed invariant subset containing x is the whole space.

You have access to this content. Tsirivas More by N. This page was last edited on 1 Novemberat Retrieved from " https: The hypercyclicity is a special case of broader notions of topological transitivity see topological mixingand universality. From Wikipedia, the free encyclopedia.

Views Read Edit View history. Tsirivas Search this author in: Such an x is then called hypercyclic vector.

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Tsirivas Search this author in:. Permanent link to this document https: However, htpercyclic was not until the s when hypercyclic operators started to be more intensively studied. By using this site, hypercyclc agree to the Terms of Use and Privacy Policy.

There is no hypercyclic operator in finite-dimensional spaces, but the property of hypercyclicity in spaces of infinite dimension is not a rare phenomenon: Article information Source Illinois J. Access denied no subscription detected We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.

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Common hypercyclic vectors for certain families of differential operators. This provides the best possible strengthened version of a hypercycllic result due to Costakis and Sambarino Adv.

In mathematicsespecially functional analysisa hypercyclic operator on a Banach space X is a bounded linear operator T: If you have a personal subscription to this journal, then please hypefcyclic. Universality in general involves a set of mappings from one topological space to another instead of a sequence of powers of a single operator mapping from X to Xbut has a similar meaning to hypercyclicity.

Zentralblatt MATH identifier Gordon, Common hypercyclic vectors for multiples of backward shiftJ. Functional analysis Operator hypdrcyclic Invariant subspaces.

Tsirivas : Common hypercyclic vectors for certain families of differential operators

Google Scholar Project Euclid. MR Digital Object Identifier: You have partial access to this content. Download Email Please enter a valid email address. You do not have access to this content.

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