A quick and simple proof of Sherman's theorem on order in \(C^*\)-algebras (Q2365220)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quick and simple proof of Sherman's theorem on order in \(C^*\)-algebras |
scientific article |
Statements
A quick and simple proof of Sherman's theorem on order in \(C^*\)-algebras (English)
0 references
12 November 1998
0 references
The title of this short note says it all. \textit{S. Sherman} [Am. J. Math. 73, 227-232 (1951; Zbl 0042.35001)] proved that if the positive cone in a \(C^*\)-algebra is a lattice, then the algebra is commutative.
0 references
