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Conjugations on Banach algebras

Published online by Cambridge University Press:  17 April 2009

John Boris Miller
John Boris Miller
Affiliation:
Department of MathematicsMonash University ClaytonVic 3168, Australia
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Abstract

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An example is given of a complex unital Banach algebra carrying a continuum of conjugations, for each of which the selfconjugate subalgebra is strictly real.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 1 , February 1995 , pp. 1 - 4
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Miller, J.B., ‘The natural ordering on a strictly real Banach algebra’, Math. Proc. Cambridge Philos. Soc. 107 (1990), 539–556.CrossRefGoogle Scholar
[2]Miller, J.B., ‘Strictly real Banach algebras’, Bull. Austral. Math. Soc. 47 (1993), 505–519.CrossRefGoogle Scholar
[3]Miller, J.B., ‘Analysis in strictly real Banach algebras’, Monash Univ. Analysis Paper No. 70 (Monash University, Clayton, Australia, 1990).Google Scholar
[4]Rickart, C.E., General theory of Banach algebras (Van Nostrand, Princeton, 1960).Google Scholar