Vol. 49, No. 1, 1973

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Subnormal operators in strictly cyclic operator algebras

Richard Bolstein and Warren R. Wogen

Vol. 49 (1973), No. 1, 7–11
Abstract

It is shown that a subnormal operator cannot belong to a strictly cyclic and separated operator algebra unless it is normal and has finite spectrum. Further, a subnormal operator not of this type cannot have a strictly cyclic commutant.

Mathematical Subject Classification 2000
Primary: 47B20
Secondary: 46L15
Milestones
Received: 7 July 1972
Published: 1 November 1973
Authors
Richard Bolstein
Warren R. Wogen