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 *-algebras, and of locally JB-algebras (projective limits of projective families of JB-algebras) among complete fine Jordan locally multiplicatively-convex topological algebras.

# Corresponding author: Mailing address: Department of Microbiology, Monash University, 19 Victoria 3800, Australia. Phone: (+)61 3 9902 9157. Fax: (+)61 3 9902 9222. E-mail: 20 [email protected]. 21 Copyright © 2009, American Society for Microbiology and/or the Listed Authors/Institutions. All Rights Reserved. J. Bacteriol. doi:10.1128/JB.00668-09 JB Accepts, published online ahead...

A theorem of Lusin is proved in the non-ordered context of JB∗-triples. This is applied to obtain versions of a general transitivity theorem and to deduce refinements of facial structure in closed unit ballls of JB∗-triples and duals.

By investigating the extent to which variation in the coefficients of a convex combination of unitaries in a unital JB-algebra permits that combination to be expressed as convex combination of fewer unitaries of the same algebra, we generalise various results of R. V. Kadison and G. K. Pedersen. In the sequel, we shall give a couple of characterisations of JB-algebras of tsr

The microbiota is required for optimal host development and ongoing immune homeostasis. Lactobacilli are common inhabitants of the mammalian large intestine and immunoregulatory effects have been described for certain, but not all, strains. The mechanisms underpinning these protective effects are beginning to be elucidated. One such protective organism is Lactobacillus rhamnosus JB-1 (Lb. rhamn...

INTRODUCTION Epilepsy is a common central nervous system (CNS) disorder characterized by seizures resulting from episodic neuronal discharges. The incidence of toxicity and refractoriness has compromised the clinical efficacy of the drugs currently used for the treatment of convulsions. Thus, there is a need to search for new medicines from plant origin that are readily available and safer for ...

In this note we present two new positive answers to Tingley’s problem in certain subspaces of function algebras. the first result prove that every surjective isometry between unit spheres, S(A) and S(B), uniformly closed algebras A B on locally compact Hausdor? spaces can be extended a real linear from onto B. second part study isometries spheres abelian JB*-triples represented as continuous fu...