Derivations of operator algebras into spaces of unbounded operators

Atsushi Inoue, Schoichi Ota and Jun Tomiyama

Vol. 96 (1981), No. 2, 389–404

DOI: 10.2140/pjm.1981.96.389

Abstract

This paper is to study the spatiality of unbounded derivations in operator algebras. Let ℳ be a von Neumann algebra (C^∗-algebra) on a Hilbert space G and δ be an unbounded derivation in ℳ. In this paper, extending δ to a derivation δ of ℳ into a certain space of unbounded operators, we study the spatiality of δ by investigating the property of δ.

Mathematical Subject Classification 2000

Primary: 46L10

Secondary: 46L55, 47D40

Milestones

Received: 15 May 1980

Published: 1 October 1981