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Discontinuous homomorphisms and the separating space
Published online by Cambridge University Press: 20 January 2009
Extract
Let T: A → B be a linear operator between two Banach algebras A and B. The basic problem in the theory of automatic continuity is to find algebraic conditions on T, A, and B which ensure that T is continuous. As a means to study continuity properties of T the separating space of T has played a crucial role. It is defined as
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- Research Article
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- Proceedings of the Edinburgh Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 35 - 39
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- Copyright © Edinburgh Mathematical Society 1982