In this paper axioms are given for" Baire*-algebras'', a type of (7*-algebras previously
studied by RV Kadison [7] and GK Pedersen [12],[13], and for" J Baire*-algebras", the Jordan …

1. Introduction. A Banach algebra, or simply B-agebra, is a linear algebra (not ncessarily
commutative) in which the underlying vector space is a com-plex Banach space. The norm …

It follows by a slight extension of the Loomis-Sikorski theorem on Boolean o--algebras
(discovered independently by Loomis and Sikorski, see [8]) that when S is the Stone …

1. Introduction. The theory of (left, right) complemented Banach algebras was developed in
[6]. In the present paper we restrict our attention to complemented S*-algebras. In § 3 we …

A Vidav theorem for Banach Jordan algebras Page 1 Math. Proc. Camb. Phil. Soc. (1978),
84, 263 2 6 3 Printed in Great Britain A Vidav theorem for Banach Jordan algebras BY MA …

The principal result of this paper states that if X is a pre-Hilbert B-module over an arbitrary C*-
algebra B, then the B-valued inner product on X can be lifted to a B-valued inner product on …

We regard a right Hilbert C*-module X over a C*-algebra A endowed with an isometric*-
homomorphism\phi: A\to L_A (X) as an object X_A of the C*-category of right Hilbert A …

The representation theory of (partially) ordered vector spaces has an application to the
representation theory of commutative B*-algebras. Kadison has treated this idea [2]. In this …

Let be an abelian von Neumann algebra and the complete Boolean algebra of all the
projections in. Then Boolean valued analysis, developed in [8] and [9], provides us with a …