Vol. 62, No. 1, 1976

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The decomposition of multiplication operators on Lp-spaces

H. A. Seid

Vol. 62 (1976), No. 1, 265–274
Abstract

A multiplication operator on an Lp-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
Authors
H. A. Seid