Vol. 76, No. 1, 1978

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ISSN: 0030-8730
Linear operators for which TT and T + T commute. III

Stephen LaVern Campbell

Vol. 76 (1978), No. 1, 17–19
Abstract

Let Θ denote the set of all linear operators T acting on a separable Hilbert space for which TT and T + T commute. It will be shown that if T Θ and T is hyponormal, then T is normal. Also if T Θ and T is hyponormal, then T is subnormal.

Mathematical Subject Classification 2000
Primary: 47B20
Milestones
Received: 21 March 1977
Published: 1 May 1978
Authors
Stephen LaVern Campbell