A note on compact semiderivations
Volume 67 / 2005
Banach Center Publications 67 (2005), 133-137
MSC: 47B47, 47B48, 47B07.
DOI: 10.4064/bc67-0-10
Abstract
Let $\cal A$ be a Banach algebra without nonzero finite dimensional ideals. Then every compact semiderivation on $\cal A$ is a quasinilpotent operator mapping $\cal A$ into its radical.
