The second transpose of a derivation

Dales, H.G. and Rodríguez-Palacios, A. and Velasco, M. V. (2001) The second transpose of a derivation. Journal of the London Mathematical Society, 64 (3). pp. 707-721. ISSN 0024-6107

Abstract

Let A be a Banach algebra, and let D: A → A* be a continuous derivation, where A* is the topological dual space of A. The paper discusses the situation when the second transpose D**: A** → (A**)* is also a derivation in the case where A** has the first Arens product.