For unilateral weighted backward shifts on ℓ_p that admit a U-frequently hypercyclic subspace, there exists such a subspace free of frequently hypercyclic vectors; the technique also gives hypercyclic subspaces free of U-frequently hypercyclic vectors and solves an open question on common U-frequent
Bernal-Gonz\' a lez , Hypercyclic subspaces in Fréchet spaces, Proceedings of the American Mathematical Society 134 , 1955--1961 (2006)
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On hypercyclic spaces and (common) $\mathscr{U}$-frequently hypercyclic spaces
For unilateral weighted backward shifts on ℓ_p that admit a U-frequently hypercyclic subspace, there exists such a subspace free of frequently hypercyclic vectors; the technique also gives hypercyclic subspaces free of U-frequently hypercyclic vectors and solves an open question on common U-frequent