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A note on special involutions

Published online by Cambridge University Press:  09 April 2009

W. D. Munn
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland, U.K. e-mail: [email protected]
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Abstract

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The algebra consisting of those linear transformations of a complex inner product space that have a formal adjoint is shown to possess a special involution. Two earlier results concerning special involutions are then generalized.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Barnes, B. A., ‘Representations of the l 1 -algebra of an semigroup’, Trans. Amer. Math. Soc. 218 (1976), 361396.Google Scholar
[2]Easdown, D. and Munn, W. D., ‘On semigroups with involution’, Bull. Austral. Math. Soc. 48 (1993), 93100.CrossRefGoogle Scholar
[3]Easdown, D. and Munn, W. D., ‘Trace functions on inverse semigroup algebras’, Bull. Austral. Math. Soc. 52 (1995), 359372.CrossRefGoogle Scholar