DISTINGUISHING JORDAN POLYNOMIALS BY MEANS OF A SINGLE JORDAN-ALGEBRANORM

Authors
GALINDO AM
Citation
Am. Galindo, DISTINGUISHING JORDAN POLYNOMIALS BY MEANS OF A SINGLE JORDAN-ALGEBRANORM, Studia Mathematica, 122(1), 1997, pp. 67-73
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
122
Issue
1
Year of publication
1997
Pages
67 - 73
Database
ISI
SICI code
0039-3223(1997)122:1<67:DJPBMO>2.0.ZU;2-P
Abstract
For K = R or C we exhibit a Jordan-algebra norm \.\ on the simple asso ciative algebra M(infinity)(K) with the property that Jordan polynomia ls over K are precisely those associative polynomials over a which act \.\-continuously on M(infinity)(K). This analytic determination of Jo rdan polynomials improves the one recently obtained in [5].