Abstract
The purpose of this note is to show that if A is a Banach algebra with the continuous dual space A∗ and D : A → A∗ is a weakly compact derivation, then D∗∗ : A∗∗ → A∗∗∗ is also a derivation, where A∗∗ has the first (or second) Arens product and A∗∗∗ is viewed as the dual module of the Banach algebra A∗∗.
Original language | English |
---|---|
Pages (from-to) | 4573-4575 |
Number of pages | 3 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2020 |