Closure properties of the quasi-centre of a Banach algebra
Published online by Cambridge University Press: 24 October 2008
Extract
Throughout the paper, A will denote a unital Banach algebra with centre Z over the complex field ℂ. An element a of A is called quasi-central if, for some K ≥ 1,
The set of elements a satisfying (1) for a particular value of K will be denoted by Q(K) and Q = UK≥1Q(K) will be called the quasi-centre of A.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 355 - 364
- Copyright
- Copyright © Cambridge Philosophical Society 1990
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