Backward shifts on Fréchet sequence spaces with one non-zero frequently recurrent vector have a dense set of them, yielding two characterizations of frequent recurrence and dense lineability of the vectors.
Grosse-Erdmann
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Frequently recurrent backward shifts
Backward shifts on Fréchet sequence spaces with one non-zero frequently recurrent vector have a dense set of them, yielding two characterizations of frequent recurrence and dense lineability of the vectors.