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The weak density of the non-invertible elements of a commutative Banach algebra

Published online by Cambridge University Press:  17 April 2009

Colin C. Graham
Colin C. Graham
Affiliation:
Northwestern University, Evanston, Illinois, USA.
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Abstract

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This is proved: if B is a commutative Banach algebra with identity, then the non-invertible elements of B are weakly dense in B if and only if the maximal ideal space of B is infinite.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 179 - 182
Copyright
Copyright © Australian Mathematical Society 1971

References

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