Geodesic
HERMITIANS IN MATRIX ALGEBRAS WITH OPERATOR NORM
Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 280-290

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DOI

We investigate the real space H of Hermitian matrices in $M_n(\mathbb{C})$ with respect to norms on $\mathbb{C}^n$. For absolute norms, the general form of Hermitian matrices was essentially established by Schneider and Turner [Schneider and Turner, Linear and Multilinear Algebra (1973), 9–31]. Here, we offer a much shorter proof. For non-absolute norms, we begin an investigation of H by means of a series of examples, with particular reference to dimension and commutativity. 
CRABB, MICHAEL J.; DUNCAN, JOHN; McGREGOR, COLIN M. HERMITIANS IN MATRIX ALGEBRAS WITH OPERATOR NORM. Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 280-290. doi: 10.1017/S0017089520000178
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     author = {CRABB, MICHAEL J. and DUNCAN, JOHN and McGREGOR, COLIN M.},
     title = {HERMITIANS {IN} {MATRIX} {ALGEBRAS} {WITH} {OPERATOR} {NORM}},
     journal = {Glasgow mathematical journal},
     pages = {280--290},
     year = {2021},
     volume = {63},
     number = {2},
     doi = {10.1017/S0017089520000178},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000178/}
}
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AU  - McGREGOR, COLIN M.
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JO  - Glasgow mathematical journal
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%A McGREGOR, COLIN M.
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%J Glasgow mathematical journal
%D 2021
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%R 10.1017/S0017089520000178
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