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Recurrence of Cosine Operator Functions on Groups

Published online by Cambridge University Press:  20 November 2018

Chung-Chuan Chen
Chung-Chuan Chen*
Affiliation:
Department of Mathematics Education, National Taichung University of Education, Taiwan e-mail: chungchuan@mail.ntcu.edu.tw
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Abstract

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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.

Keywords

47A1654B2043A15topologically multiple recurrencerecurrencetopological transitivityhypercyclicitycosine operator function
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 4 , 01 December 2016 , pp. 693 - 704
Copyright
Copyright © Canadian Mathematical Society 2016

References

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