Operators Approximable by Hypercyclic Operators
Copyright policy )Operators Approximable by Hypercyclic Operators
We show that operators on a separable infinite dimensional Banach space $X$ of the form $I +S$, where $S$ is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on $X$, in fact in the closure of the mixing operators.
Structure theory of linear operators, Mathematics - Functional Analysis, generalized kernel, nilpotent operators, FOS: Mathematics, Cyclic vectors, hypercyclic and chaotic operators, mixing operators, hypercyclic operators, Functional Analysis (math.FA)
Structure theory of linear operators, Mathematics - Functional Analysis, generalized kernel, nilpotent operators, FOS: Mathematics, Cyclic vectors, hypercyclic and chaotic operators, mixing operators, hypercyclic operators, Functional Analysis (math.FA)
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