On hypercyclic spaces and (common) $\mathcal{U}$-frequently hypercyclic spaces

Nacib G. Albuquerque, Thiago R. Alves, Geraldo Botelho +1

Let $B$ be an unilateral weighted backward shift on ${\ell }_p$, $1\le p<\infty$, that admits a $\mathcal{U}$-frequently hypercyclic subspace. We prove that $B$ admits such a subs…