The carrier space of a reflexive operator algebra Academic Article uri icon

abstract

  • 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.

citation count

  • 7

complete list of authors

  • Hopenwasser, Alan||Larson, David

publication date

  • April 1979