Double commutants of weighted shifts

Thomas Rolf Turner

Vol. 45 (1973), No. 1, 379–386

DOI: 10.2140/pjm.1973.45.379

Abstract

Let A be an operator (bounded linear transformation) on a (complex) Hilbert space. If the double commutant of A is equal to the weakly closed algebra (with identity) generated by A we shall say that A belongs to the class (dc).

Mathematical Subject Classification 2000

Primary: 47A45

Milestones

Received: 1 December 1971

Revised: 11 February 1972

Published: 1 March 1973