Locally standard measure 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.

Weighted Convolution Measure Algebras Characterized by Convolution Algebras

The weighted semigroup algebra Mb (S, w) is studied via its identification with Mb (S) together with a weighted algebra product *w so that (Mb (S, w), *) is isometrically isomorphic to (Mb (S), *w). This identification enables us to study the relation between regularity and amenability of Mb (S, w) and Mb (S), and improve some old results from discrete to general case.

Locally ̂ - Equivalent Algebras ^ )

Let A be a Banach "-algebra. A is locally ¿"-equivalent if, for every selfadjoint element t e A, the closed *-subalgebra of A generated by / is *-isomorphic to a ¿"-algebra. In this paper it is shown that when A is locally ¿"-equivalent, and in addition every selfadjoint element in A has at most countable spectrum, then A is *-isomorphic to a ¿"-algebra.

Multiplicative bijective maps on standard operator algebras

The associated measure on locally compact cocommutative KPC-hypergroups

We study harmonic analysis on cocommutative KPC-hyper-groups‎, which is a generalization of DJS-hypergroups‎, ‎introduced by Kalyuzhnyi‎, ‎Podkolzin and Chapovsky‎. ‎We prove that there is a relationship between‎ ‎the associated measures $mu$ and $gamma mu$‎, ‎where $mu$ is‎ ‎a Radon measure on KPC-hypergroup $Q$ and $gamma$ is a character on $Q$.