Commutants modulo the compact operators of certain CSL algebras II Academic Article

abstract

• The commutant modulo compacts, or essential commutant, of a reflexive algebra with commutative subspace lattice is a C* algebra which is the sum of the compact operators in L(H) and a C* subalgebra of the core. We give a characterization of the essential commutant of a separably acting CSL algebra in terms of properties of the spectral measure of an operator in the intersection of the essential commutant and the core. This is used to determine some sufficient conditions on the lattice for when the essential commutant is norm generated by the projections it contains. 1983 Birkhuser Verlag.

authors

• Larson, David

published proceedings

• Integral Equations and Operator Theory

author list (cited authors)

• Gilfeather, F., & Larson, D. R.

citation count

• 2

complete list of authors

• Gilfeather, Frank||Larson, David R

publication date

• January 1983

publisher

• Springer Nature  Publisher

published in

• Integral Equations and Operator Theory  Journal

Digital Object Identifier (DOI)

• 10.1007/bf01691902

start page

• 345

end page

• 356

volume

• 6

issue

• 1

URL

• http://dx.doi.org/10.1007/bf01691902