Operation continuity of effect algebras

Automatic Continuity of Homomorphisms Between Banach algebras and Frechet algebras

CONTINUITY IN FUNDAMENTAL LOCALLY MULTIPLICATIVE TOPOLOGICAL ALGEBRAS

Abstract. In this paper, we first derive specific results concerning the continuity and upper semi-continuity of the spectral radius and spectrum functions on fundamental locally multiplicative topological algebras. We continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms in these algebras.

Automatic Continuity of Higher Derivations on JB*-Algebras

Relations between Various Continuity Concepts in Effect Algebras

The aim of the present paper is to establish relations between continuity concepts for a nonnegative extended real-valued function μ defined on an effect algebra. Examples and counterexamples are given to illustrate various situations arising in this study.

Continuity of Derivations on //»-algebras

We prove that the separating subspace for a derivation on a nonassociative //'-algebra is contained in the annihilator of the algebra. In particular, derivations on nonassociative H* -algebras with zero annihilator are continuous.