A characterization of positive normal functionals on the full operator algebra
Functional Analysis
2017-10-19 v1
Abstract
Using the recent theory of Krein--von Neumann extensions for positive functionals we present several simple criteria to decide whether a given positive functional on the full operator algebra is normal. We also characterize those functionals defined on the left ideal of finite rank operators that have a normal extension.
Cite
@article{arxiv.1710.06830,
title = {A characterization of positive normal functionals on the full operator algebra},
author = {Zoltán Sebestyén and Zsigmond Tarcsay and Tamás Titkos},
journal= {arXiv preprint arXiv:1710.06830},
year = {2017}
}