The decomposition of multiplication operators on L_p-spaces

H. A. Seid

Vol. 62 (1976), No. 1, 265–274

DOI: 10.2140/pjm.1976.62.265

Abstract

A multiplication operator on an L_p-space is factored as the direct sum of cyclic parts and a singular part. The equivalence of this decomposition with Rohlin’s Theorem on decomposition of measure spaces is shown.

Mathematical Subject Classification 2000

Primary: 47B37

Secondary: 28A65

Milestones

Received: 5 March 1974

Published: 1 January 1976