HYPERCYCLIC OPERATOR WEIGHTED SHIFTS
Copyright policy )HYPERCYCLIC OPERATOR WEIGHTED SHIFTS
A bounded linear operator \(T\) on a Hilbert space \(H\) is said to be hypercyclic if, for some \(x \in H\), the orbit \(\{T^{n}x : n=0,1,2,\dots \}\) is dense in \(H\). In the paper under review, the authors give a characterization for hypercyclicity of a bilateral operator weighted shift \(T\) on the Hilbert space \(L^{2}(K)\).
invertible diagonal operator, Cyclic vectors, hypercyclic and chaotic operators, bilateral operator weighted shift, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), hypercyclic operator
invertible diagonal operator, Cyclic vectors, hypercyclic and chaotic operators, bilateral operator weighted shift, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), hypercyclic operator
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