On the continuity of derivations over locally regular Banach algebras
Abstract
Abstract We study the problem of continuity of derivations over Banach algebras. More specifically, we consider derivations over a class of Banach algebras that contain dense “ $C^*$ -like” subalgebras. The results we prove are then applied to $L^p$ -crossed products and symmetrized $L^p$ -crossed products. For example, it follows that every derivation over the $L^p$ -crossed product $F^p(G,X,\alpha )$ is continuous, provided that G is infinite, finitely generated, has polynomial growth, and acts freely on the compact Hausdorff space X .
Fields of Study & Subjects
Advanced Topics in Algebra
Matrix Theory and Algorithms
Advanced Banach Space Theory
Publication details
- Journal / source
- Canadian Mathematical Bulletin
- Publisher
- Canadian Mathematical Society
- Pages
- 1–12
- Publication date
- 6 March 2026
- Language
- EN