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15th Southeastern Analysis Meeting and Shanks Lecture
May 20-23, 1999
Vanderbilt University
Nashville, TN, USA

Organizers
Daoxing Xia, Dechao Zheng, Eric Schechter

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Operators T such that f(T) is hypercyclic
by
Vivien Glass Miller
Mississippi State University
Coauthors: Teresa Bermudez

We will summarize some of the recent work that has been done on generalizing the hypercyclicity criterion that were made famous by Shapiro, Godefroy, and Gethner. Using their hypercyclicity criterion we give some conditions on T such that the operator f(T) given by the holomorphic functional calculus is supercyclic or hypercyclic.

Date received: February 12, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacb-05.