In , Martínez-Avendaño and Zatarain-Vera  proved that hypercyclic coanalytic Toeplitz operators are subspace-hypercyclic under certain conditions. particular that the operator is universal in the sense of Glasner and Weiss) admits frequently hypercyclic vectors with irregularly visiting orbits. where is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on, in fact in the closure of the.
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In other words, the smallest closed invariant subset containing x is the whole space. Functional analysis Operator theory Invariant subspaces.
Hypercyclic operator – Wikipedia
Thank you I’ve changed it.
In mathematicsespecially functional analysisa hypercyclic operator on a Banach space X is a bounded linear operator T: Post as a guest Name. This is material I’m self studying.
Home Questions Tags Users Unanswered. The hypercyclicity is a special case of broader notions of topological transitivity see topological mixingand universality.
Sign up using Facebook. Sign up or log in Sign up using Google. 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.
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I’m pretty new to this area of study so if there are logical ooperators in my proof I’m sure there are many please let me know. From Wikipedia, the free encyclopedia. I have no more commnets.