Linear operators for which T^∗T and TT^∗ commute. III

Stephen LaVern Campbell

Vol. 91 (1980), No. 1, 39–45

DOI: 10.2140/pjm.1980.91.39

Abstract

Let T be a bounded linear operator on a Hilbert space H. Let [T] = T^∗T −TT^∗. The structure of operators such that T^∗T and TT^∗ commute and rank[T] < ∞ is studied.

Mathematical Subject Classification 2000

Primary: 47B47

Secondary: 47B20

Milestones

Received: 18 October 1978

Published: 1 November 1980