The unbounded commutant of an operator of class C_0

Abstract

We describe the closed, densely defined linear transformations commuting with a given operator T of class C_0 in terms of bounded operators in {T}'. Our results extend those of Sarason for operators with defect index 1, and Martin in the case of arbitrary finite index.

References in corpus (2)

• Confluent operator algebras and the closability property
• Characterization of the unbounded bicommutant of C_0 (N) contractions