Hermitians in matrix algebras with operator norm and associated Lie algebras

This is a continuation of Crabb et al. (2021) [3] and Duncan and McGregor (2022) [4] in which we began an investigation of the real space H of Hermitian matrices in Mn(C) with respect to norms on Cn. Here, we introduce a family of Lie algebras derived from the classical real Lie algebras, with the aim of determining whether or not they are Lie isomorphic to ideals of some H. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).