5 papers
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…
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…
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…
A Note on Banach Principle for JW-algebras
Genady Ya. Grabarnik, Alexander A. Katz
In the sequel we establish the Banach Principle for semifinite JW-algebras without direct summand of type I sub 2, which extends the recent results of Chilin and Litvinov on the Ba…
On Existence and Uniqueness of Universal Enveloping Locally C*-Algebra for a Locally JB-Algebra
Alexander A. Katz, Oleg Friedman
A theorem is presented on existence and uniqueness up to the topological *-isomorphism of universal locally C*-algebra for an arbitrary locally JB-algebra.