Journal of Operator Theory

Volume 55, Issue 1, Winter 2006 pp. 153-167.

A modification of Read's transitive operator

Authors: Gleb Sirotkin
Author institution: Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA

Summary: In this paper we discuss an inductive process of constructing an operator on $\ell_1$ without non-trivial closed invariant subspace.

Keywords: operator, invariant subspace, transitive operator

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