English

Julia operators and Halmos dilations

Functional Analysis 2018-03-28 v1

Abstract

We offer a simple direct proof of the unitarity of the Julia operator associated to a contraction AA, from which follow the intertwining identity (IAA)1/2A=A(IAA)1/2(I - A A^*)^{1/2} A = A (I - A^* A)^{1/2} and the unitarity of Halmos dilations.

Keywords

Cite

@article{arxiv.1803.09329,
  title  = {Julia operators and Halmos dilations},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1803.09329},
  year   = {2018}
}
R2 v1 2026-06-23T01:04:30.219Z