[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2013.53.2.185

A Class of Invertible Bilateral Weighted Shifts

Jung, Il Bong (Department of Mathematics, Kyungpook National University)
Pearcy, Carl (Department of Mathematics, Texas A&M University)

Publication Information

Kyungpook Mathematical Journal / v.53, no.2, 2013 , pp. 185-189 More about this Journal

Abstract

In this note we study a class of invertible weighted bilateral shifts on Hilbert space introduced by Haskell Rosenthal recently. We show that every Rosenthal shift is unitarily equivalent to its inverse, not quasisimilar to its adjoint, and has a nontrivial hyperinvariant subspace.

Keywords

bilateral shift; Rosenthal shift; hyperinvariant subspace;

Citations & Related Records

Reference

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