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· 2025

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math.FA 1

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2026 1

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

math.FA · 2026-05-08 · unverdicted · novelty 7.0

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

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  • On hypercyclic spaces and (common) $\mathscr{U}$-frequently hypercyclic spaces math.FA · 2026-05-08 · unverdicted · none · ref 11

    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