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Banach algebras with one dimensional radical
Published online by Cambridge University Press: 17 April 2009
Abstract
A Banach algebra A with radical R is said to have property (S) if the natural mapping from the algebraic tensor product A ⊗ A onto A2 is open, when A ⊗ A is given the protective norm. The purpose of this note is to provide a counterexample to Zinde's claim that when A is commutative and R is one dimensional the fulfillment of property (S) in A implies its fulfillment in the quotient algebra A/R.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1983 , pp. 115 - 119
- Copyright
- Copyright © Australian Mathematical Society 1983