Extreme points in triangular UHF algebras Academic Article uri icon

abstract

  • We examine the strongly extreme point structure of the unit balls of triangular UHF algebras. The semisimple triangular UHF algebras are characterized as those for which this structure is minimal in the sense that every strongly extreme point belongs to the diagonal. In contrast to this, for the class of full nest algebras we prove a Krein-Milman type theorem which asserts that every operator in the open unit ball of the algebra is a convex combination of strongly extreme points.

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • Hudson, T., Katsoulis, E., & Larson, D.

citation count

  • 5

complete list of authors

  • Hudson, Timothy||Katsoulis, Elias||Larson, David

publication date

  • August 1997