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
Shkarin , On the set of hypercyclic vectors for the differentiation operator, Israel Journal of Mathematics 180 , 271--283 (2010)
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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