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Abstract Bochner-Weil-Raikov theorem in topological algebras

Published online by Cambridge University Press:  17 April 2009

Maria Fragoulopoulou
Maria Fragoulopoulou
Affiliation:
Mathematical Institute, University of Athens, 57 Solonos Street, Athens 143, Greece.
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Abstract

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Each continuous positive linear form on a commutative locally m-convex *-algebra E with a bounded approximate identity, accepts an integral representation on the hermitian spectrum (hermitian characters) of E. An alternative form of the latter is also obtained. The presented results constitute an abstract form of the Bochner-Weil-Raikov theorem within the frame of topological *-algebras.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1982 , pp. 39 - 44
Copyright
Copyright © Australian Mathematical Society 1982

References

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