$\mu$-norm and regularity
Dynamical Systems
2022-01-03 v1
Abstract
In \cite{Tre_PSI20} we introduce the concept of a -norm for a bounded operator in a Hilbert space. The main motivation is the extension of the measure entropy to the case of quantum systems. In this paper we recall the basic results from \cite{Tre_PSI20} and present further results on the -norm. More precisely, we specify three classes of unitary operators for which the -norm generates a bistochastic operator. We plan to use the latter in the construction of quantum entropy.
Keywords
Cite
@article{arxiv.2112.15078,
title = {$\mu$-norm and regularity},
author = {Dmitry Treschev},
journal= {arXiv preprint arXiv:2112.15078},
year = {2022}
}