DERIVATIONS ON CONVOLUTION ALGEBRAS

作者：Mehdipour Mohammad Javad^*; Saeedi Zahra

来源：Bulletin of the Korean Mathematical Society, 2015, 52(4): 1123-1132.

DOI：10.4134/BKMS.2015.52.4.1123

• derivation
• inner derivation
• centralizing
• automatic continuity

In this paper, we investigate derivations on the noncommutative Banach algebra L-0(infinity)(omega)* equipped with an Arens product. As a main result, we prove the Singer-Wermer conjecture for the noncommutative Banach algebra L-0(infinity)(omega)*. We then show that a derivation on L-0(infinity)(omega)* is continuous if and only if its restriction to rad(L-0(infinity)(omega)*) is continuous. We also prove that there is no nonzero centralizing derivation on LE, (omega)*. Finally, We prove that the space of all inner derivations of L-0(infinity)(omega)* is continuously homomorphic to the space L-0(infinity)(omega)L-1 (omega)

• 出版日期2015-7