Remarks on finitely hypercyclic and finitely supercyclic operators

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pp. 110-115 ◽  
Author(s):  
V. G. Miller

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Author(s):  
Nathan S. Feldman


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GABRIEL T. PRAˇJITURAˇ


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Etienne Matheron


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Vladim�r M�ller




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Cui Wang

AbstractWe characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators. Moreover, we give a sufficient condition to yield the disjoint supercyclicity for families of Taylor-type operators.



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