Geodesic
Recurrence of Cosine Operator Functions on Groups
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 693-704

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DOI

In this note, we study the recurrence and topologically multiple recurrence of a sequence of operators on Banach spaces. In particular, we give a sufficient and necessary condition for a cosine operator function, induced by a sequence of operators on the Lebesgue space of a locally compact group, to be topologically multiply recurrent.
DOI : 10.4153/CMB-2016-011-2
Mots-clés : 47A16, 54B20, 43A15, topologically multiple recurrence, recurrence, topological transitivity, hypercyclicity, cosine operator function 
Chen, Chung-Chuan. Recurrence of Cosine Operator Functions on Groups. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 693-704. doi: 10.4153/CMB-2016-011-2
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     author = {Chen, Chung-Chuan},
     title = {Recurrence of {Cosine} {Operator} {Functions} on {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {693--704},
     year = {2016},
     volume = {59},
     number = {4},
     doi = {10.4153/CMB-2016-011-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-011-2/}
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