Vol. 82, No. 1, 1979

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On selfadjoint derivation ranges

Joseph Gail Stampfli

Vol. 82 (1979), No. 1, 257–277
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
Authors
Joseph Gail Stampfli