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A strictly weakly hypercyclic operator with a hypercyclic subspace
Journal of Operator TheoryAn interesting topic of study for a hypercyclic operator T:X→X on a topological vector space X has been whether X has an infinite\hyp{}dimensional, closed subspace consisting entirely, except for the zero vector, of hypercyclic vectors of T. These subspaces are called hypercyclic subspaces. It has been known that there is an operator T:H→H on a Hilbert
Chan, Kit C., Madarasz, Zeno
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A bridge between -frequent hypercyclicity and frequent hypercyclicity
Journal of Mathematical Analysis and Applications, 2020Quentin Menet
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Hypercyclicity on the Algebra of Hilbert-Schmidt Operators
Results in Mathematics, 2013H Rezaei, B Yousefi
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Hypercyclicity of shifts on weighted spaces of directed trees
Journal of Mathematical Analysis and Applications, 2017Rubén Alejandro Martínez Avendaño
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Some necessary and sufficient conditions for Hypercyclicity Criterion
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2005H Rezaei, B Yousefi
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Hypercyclicity of weighted composition operators on the weighted little Bloch space
Indagationes Mathematicae, 2020Ze-Hua Zhou
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