3 papers
math.OA2008
On Bounded Approximate Identities and Existence of Dense Ideals in Real Locally C*- and Locally JB-Algebras
Alexander A. Katz, Oleg Friedman
It has been established by Inoue that a complex locally C*-algebra with a dense ideal posesses a bounded approximate identity which belonges to that ideal. It has been shown by Fri…
math.OA2008
On Intrinsic Characterization of Real Locally C*- and Locally JB-Algebras
Alexander A. Katz, Oleg Friedman
In the present paper we obtain an intrinsic characterization of real locally C*-algebras (projective limits of projective families of real C*-algebras) among complete real lmc *-al…
math.OA2008
On continuous fields of JB-algebras
Alexander A. Katz
We introduce and study continuous fields of JB-algebras (which are real non-associate analogues of C*-algebras). In particular, we show that for the universal enveloping C*-algebra…