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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The proof seems correct to me. From Wikipedia, the free encyclopedia.
Such an x is then called hypercyclic vector. Functional analysis Operator theory Invariant subspaces.
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However, it was not until the s when hypercyclic operators started to be more intensively studied. In mathematicsespecially functional analysisa hypercyclic operator on a Banach space X is a bounded linear operator T: I’m pretty new to this area of study so if there are logical lacune in my proof I’m sure there are many please let me know.
Hypercyclic operator – Wikipedia
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Sign up using Email and Password. In other words, the smallest closed invariant subset containing x is the whole space. Universality in general involves a set of mappings from one topological space to another instead of a sequence of powers olerators a single operator mapping from X to Xbut has a similar meaning to hypercyclicity.
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