Title

On Banach-Stone type theorems in uniform multiplicative subgroups of C(K)-spaces

Abstract

In this article, we study the preservation properties of (Šilov) boundary of multiplicative subgroups in C(X) spaces for non-surjective norm-preserving multiplicative maps. We also show a sufficient condition for surjective maps between groups of positive continuous functions to be a composition operator.

Publication Title

Acta Mathematica Scientia

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