On the set of supercyclic operators
Copyright policy )On the set of supercyclic operators
AbstractIn this article, we address a problem posed by Bayart regarding the existence of an infinite‐dimensional closed vector subspace (excluding the null operator) within the set of supercyclic operators on Banach spaces. We fully resolve this problem by establishing the existence of the closed subspace. Furthermore, we prove that the set of supercyclic operators on contains, up to the null operator, an isometric copy of .
Mathematics - Functional Analysis, Lineability in functional analysis, FOS: Mathematics, Cyclic vectors, hypercyclic and chaotic operators, Linear spaces of operators, Operators on Banach spaces, Functional Analysis (math.FA)
Mathematics - Functional Analysis, Lineability in functional analysis, FOS: Mathematics, Cyclic vectors, hypercyclic and chaotic operators, Linear spaces of operators, Operators on Banach spaces, Functional Analysis (math.FA)
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