Furstenberg theorem for frequently hypercyclic operators

In this paper, we show that if the direct sum \(T\oplus T\) of frequently hypercyclic operators is frequently hypercyclic, then every higher direct sum \(T\oplus\cdots\oplus T\) is also frequently hypercyclic.

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Bibliographic Details
Published in:arXiv.org 2014-08
Main Authors: Kim, Eunsang, Park, Tae Ryong
Format: Article
Language:English
Subjects:
Operators
Online Access:Get full text
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Summary:In this paper, we show that if the direct sum \(T\oplus T\) of frequently hypercyclic operators is frequently hypercyclic, then every higher direct sum \(T\oplus\cdots\oplus T\) is also frequently hypercyclic.
ISSN:2331-8422