The carrier space of a reflexive operator algebra
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Many properties of nest algebras are actually valid for reflexive operator algebras with a commutative subspace lattice. In this paper we collect a number of such results related to the carrier space of the algebra. Included among these results are a generalization of Ringrose’s criterion, a description of the partial correspondence between lattice homomorphisms of the carrier space and projections in the lattice, the construction of isometric representations of certain quotient algebras, and a direct sum decomposition of the commutant of the core modulo the intersection of the spectral ideals. © 1979 by Pacific Journal of Mathematics.
author list (cited authors)
Hopenwasser, A., & Larson, D.
complete list of authors
Hopenwasser, Alan||Larson, David