Title of article
A higher rank version of Kitai’s theorem
Author/Authors
Enhui Shi، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
4
From page
579
To page
582
Abstract
We prove that each linear action of Zn
+ on an infinite-dimensional Banach space generated by compact operators cannot be
hypercyclic. This result generalizes a theorem of Kitai for the case of Z+ actions. Contrary to the case of infinite dimension,
a hypercyclic action of Z3
+ on C is given.
© 2008 Elsevier Inc. All rights reserved
Keywords
Banach space , Hypercyclicity , Compact operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937217
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