Positive linear forms vanish on the radical

Authors
Citation
Tm. Bisgaard, Positive linear forms vanish on the radical, POSITIVITY, 4(2), 2000, pp. 115-118
Citations number
4
Categorie Soggetti
Mathematics
Journal title
POSITIVITY
ISSN journal
13851292 → ACNP
Volume
4
Issue
2
Year of publication
2000
Pages
115 - 118
Database
ISI
SICI code
1385-1292(200006)4:2<115:PLFVOT>2.0.ZU;2-9
Abstract
If A is a complex *-algebra with unit then every linear form L on A which i s positive in the sense that L(a*a) greater than or equal to 0 for all a is an element of A vanishes on the Jacobson radical of A.