Vol. 70, No. 1, 1977

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On operator algebras containing cyclic Boolean algebras

Peter Michael Rosenthal and Ahmed Ramzy Sourour

Vol. 70 (1977), No. 1, 243–252
Abstract

It is shown that a strongly closed algebra of operators which contains a σ-complete Boolean algebra with a cyclic vector and which has a totally-ordered invariant subspace lattice must be reflective.

Mathematical Subject Classification 2000
Primary: 46L20, 46L20
Secondary: 47A15
Milestones
Received: 18 February 1976
Published: 1 May 1977
Authors
Peter Michael Rosenthal
Ahmed Ramzy Sourour