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arXiv · 1911.08066

Some Results on Subspace-Hypercyclic Operators

A. Augusto·L. Pellegrini
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Abstract

A bounded linear operator $T$ on a Banach space $X$ is called subspace-hypercyclic if there is a subspace $M \subsetneq X$ and a vector $x \in X$ such that $orb{(x,T)} \cap M$ is dense in $M$. We show that every Banach space supports subspace-hypercyclic operators and provide a new criteira for subspace-hypercyclic operators, generalizing a previous result from Le.

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A. Augusto, L. Pellegrini. 2019-11-19. Some Results on Subspace-Hypercyclic Operators. https://arxiv.org/abs/1911.08066

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