Subnormal Operators with Hypercyclic Adjoints
by
Nathan S. Feldman
Michigan State University

We shall characterize the invertible subnormal operators having hypercyclic adjoints. Our characterization allows us to give some new examples of hypercyclic operators as well as prove such results as the following: Suppose S and T are invertible subnormal operators, then (a) If S* and T* are hypercyclic, then direct sum of S* and T* is hypercyclic, (b) If S* is hypercyclic, then f(S*) is hypercyclic whenever f(z) is an inner function, (c) If S* is finitely hypercyclic, then S* is actually hypercyclic.

Date received: May 4, 1999