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We study a notion of $q$-frequent hypercyclicity of linear maps between the Banach algebras consisting of operators on a separable infinite dimensional Banach space. We derive a sufficient condition for a linear map to be $q$-frequently hypercyclic in the strong operator topology. Some properties are investigated regarding $q$-frequently hypercyclic subspaces as shown in \cite{BoGros2012}, \cite{Chan99} and \cite{CT2001}. Finally, we study $q$-frequent hypercyclicity of tensor products and direct sums of operators.
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참고문헌 (16)
참고문헌 신청
A. Bonilla / 2007 / Frequently hypercyclic operators and vectors / Ergodic Theory Dynam. Systems 27 (2) : 383 ~ 404
A. Bonilla / 2012 / Frequently hypercyclic subspaces / Monatsh. Math 168 (3-4) : 305 ~ 320
C. Heil / 2011 / A Basis Theory Primer: Expanded Edition / Birkh¨auser-Basel
C. Kitai / 1982 / Invariant closed sets for linear operators / Ph.D. / Univ. of Toronto
F. Bayart / 2006 / Frequently hypercyclic operators / Trans. Amer. Math. Soc 358 (11) : 5083 ~ 5117
A. Bonilla / 2012 / Frequently hypercyclic subspaces / Monatsh. Math 168 (3-4) : 305 ~ 320
C. Heil / 2011 / A Basis Theory Primer: Expanded Edition / Birkh¨auser-Basel
C. Kitai / 1982 / Invariant closed sets for linear operators / Ph.D. / Univ. of Toronto
F. Bayart / 2006 / Frequently hypercyclic operators / Trans. Amer. Math. Soc 358 (11) : 5083 ~ 5117
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