Raising bounded groups and splitting of radical extensions of commutative Banach algebras
Volume 141 / 2000
Studia Mathematica 141 (2000), 85-98
DOI: 10.4064/sm-141-1-85-98
Abstract
Let A be a commutative unital Banach algebra and let A/ℛ be the quotient algebra of A modulo its radical ℛ. This paper is concerned with raising bounded groups in A/ℛ to bounded groups in the algebra A. The results will be applied to the problem of splitting radical extensions of certain Banach algebras.
