HYPERCYCLIC OPERATORS PDF

Every such vector is called hypercyclic for. It is well known that a hypercyclic operator can exist only in separable infinite-dimensional spaces see [ 1 ]. As for first results related to hypercyclic operators there are classical works of Birkhoff [ 2 ] and MacLane [ 3 ] showing that the operators of translation and differentiation, acting on the space of entire functions of one complex variable, are hypercyclic. There are many results related to hypercyclic operators on spaces of analytic functions on finite and infinite-dimensional spaces see, e. Motivated by these results, we examine the hypercyclic behavior of composition operators on Hilbert spaces of entire functions of many infinite variables.

Author:JoJokus Tejas
Country:Monaco
Language:English (Spanish)
Genre:Video
Published (Last):17 December 2007
Pages:57
PDF File Size:13.30 Mb
ePub File Size:12.74 Mb
ISBN:127-3-83364-327-3
Downloads:30065
Price:Free* [*Free Regsitration Required]
Uploader:Nikoktilar



Akinodal Functional analysis Operator theory Invariant subspaces. The proof seems correct to me. Such an x is then called hypercyclic vector. There was a problem providing the content you requested By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

The hypercyclicity is a special case of broader notions of topological transitivity see topological mixingand universality. Sign up pperators log in Sign up using Google. From Wikipedia, the free encyclopedia. By using this site, you agree to the Terms of Use and Privacy Policy. Hyperchclic up using Email and Password. Email Required, but never shown. However, it was hyercyclic until the s when hypercyclic operators started to be more intensively studied. Home Questions Tags Users Unanswered.

Sign up using Facebook. 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. In other words, the smallest closed invariant subset containing x is the whole space.

Views Read Edit View history. Mathematics Stack Exchange works best with JavaScript enabled. TOP Related Posts.

KANNIMASATHILE ORU DIVASAM PDF

Donate to arXiv

Akinodal Functional analysis Operator theory Invariant subspaces. The proof seems correct to me. Such an x is then called hypercyclic vector. There was a problem providing the content you requested By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. The hypercyclicity is a special case of broader notions of topological transitivity see topological mixingand universality. Sign up pperators log in Sign up using Google.

BARON RUDOLF VON SEBOTTENDORF PDF

Hypercyclic and chaotic operators

.

Related Articles