English

The unbounded commutant of an operator of class C_0

Functional Analysis 2009-08-18 v1

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.

Keywords

Cite

@article{arxiv.0908.2262,
  title  = {The unbounded commutant of an operator of class C_0},
  author = {Hari Bercovici},
  journal= {arXiv preprint arXiv:0908.2262},
  year   = {2009}
}