Pusz--Woronowicz's functional calculus revisited
Functional Analysis
2021-10-26 v3
Abstract
This note is a complement to Pusz--Woronowicz's works on functional calculus for two positive forms from the viewpoint of operator theory. Based on an elementary, self-contained and purely Hilbert space operator explanation of their functional calculus, we show that any operator connection type operations (including any operator perspectives) are captured by their functional calculus.
Cite
@article{arxiv.2012.13072,
title = {Pusz--Woronowicz's functional calculus revisited},
author = {Kanae Hatano and Yoshimichi Ueda},
journal= {arXiv preprint arXiv:2012.13072},
year = {2021}
}
Comments
v3:final version; to appear in Acta Sci. Math. (Szeged)