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In , Martínez-Avendaño and Zatarain-Vera [10] 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 mathematicsespecially functional analysisa hypercyclic operator on a Banach space X is a bounded linear operator T: I have no more commnets.

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. Post as a guest Name. Opertaors analysis Operator theory Invariant subspaces.

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### functional analysis – Hypercyclic operators in $L_p (0,\infty)$ – Mathematics Stack Exchange

Such an x is then called hypercyclicc vector. However, it was not until the s when hypercyclic operators started to be more intensively studied. Email Required, but never shown.