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A note on special involutions

Part of: Rings and algebras with additional structure Rings and algebras arising under various constructions

Published online by Cambridge University Press:  09 April 2009

W. D. Munn
W. D. Munn
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland, U.K. e-mail: wdm@maths.gla.ac.uk
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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.

MSC classification

Secondary: 16S50: Endomorphism rings; matrix rings 16W10: Rings with involution; Lie, Jordan and other nonassociative structures
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 65 , Issue 2 , October 1998 , pp. 284 - 288
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), 361–396.Google Scholar
[2]Easdown, D. and Munn, W. D., ‘On semigroups with involution’, Bull. Austral. Math. Soc. 48 (1993), 93–100.CrossRefGoogle Scholar
[3]Easdown, D. and Munn, W. D., ‘Trace functions on inverse semigroup algebras’, Bull. Austral. Math. Soc. 52 (1995), 359–372.CrossRefGoogle Scholar