Vol. 98, No. 1, 1982

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Quasidiagonal weighted shifts

Russel A. Smucker

Vol. 98 (1982), No. 1, 173–182
Abstract

We characterize the quasidiagonality of a two-way weighted shift solely in terms of the weights. We use the characterization to show that quasidiagonality fails to be an invariant for similarity: an operator similar to the (unweighted) bilateral shift may fail to be quasidiagonal.

Mathematical Subject Classification 2000
Primary: 47B37
Milestones
Received: 1 May 1979
Published: 1 January 1982
Authors
Russel A. Smucker