Extensions of normal operators Academic Article uri icon

abstract

  • We prove that every one dimensional extension of a separably acting normal operator has a cyclic commutant, and that every non-algebraic normal operator has a two-dimensional extension which fails to have a cyclic commutant. Contrasting this, we prove that if T is an extension of a normal operator by an algebraic operator then the weakly closed algebra W(T) has a separating vector. 1994 Birkhuser Verlag.

published proceedings

  • Integral Equations and Operator Theory

author list (cited authors)

  • Larson, D. R., & Wogen, W. R.

citation count

  • 2

complete list of authors

  • Larson, David R||Wogen, Warren R

publication date

  • September 1994