Journal of Operator Theory
Volume 60, Issue 2, Fall 2008 pp. 219-238.
Factorization and reflexivity results for polynomially bounded operatorsAuthors: Olivier Rejasse
Author institution: Universite Bordeaux 1, LABAG, 351 Cours de la Liberation, 33405 Talence, France
Summary: In this paper we prove some factorization and reflexivity results for polynomially bounded operators; in particular, we obtain the following theorem: Every polynomially bounded operator acting on a reflexive Banach space such that its spectrum contains the unit circle either has a non trivial hyperinvariant subspace or is reflexive.
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