Multiplicity theory for Boolean algebras of L^p-projections

Ehrhard Behrends and Richard Evans

Vol. 87 (1980), No. 1, 21–40

DOI: 10.2140/pjm.1980.87.21

Abstract

As an application of the integral module representation we investigate the multiplicity function in the sense of Bade for Boolean algebras of L^p-projections. In the case of finite multiplicity and the restriction of the multiplicity function to invariant subspaces we obtain results which have no analogue in the case of arbitrary Boolean algebras of projections.

Mathematical Subject Classification 2000

Primary: 46B20

Secondary: 47B99

Milestones

Received: 12 June 1978

Published: 1 March 1980