On selfadjoint derivation ranges

Joseph Gail Stampfli

Vol. 82 (1979), No. 1, 257–277

DOI: 10.2140/pjm.1979.82.257

Abstract

The properties of those operators on a Hilbert space which induce a derivation whose range after closure is self-adjoint are studied. Such operators are termed D-symmetric. A characterization of compact D-symmetric operators is given. Normal derivations are considered, and an example of an irreducible, not essentially normal, D-symmetric operator is presented.

Mathematical Subject Classification 2000

Primary: 47B47

Secondary: 47A05, 47A65

Milestones

Received: 23 March 1978

Published: 1 May 1979