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A characterisation of C*-algebras

Published online by Cambridge University Press:  20 January 2009

M. A. Hennings
M. A. Hennings
Affiliation:
Sidney Sussex College, Cambridge, CB3 3HU
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It is of some interest to the theory of locally convex *-algebras to know under what conditions such an algebra A is a pre-C*-algebra (the topology of A can be described by a submultiplicative norm such that ‖x*x‖ = ‖x‖2, ∀x∈A). We recall that a locally convex *-algebra is a complex *-algebra A with the structure of a Hausdorff locally convex topological vector space such that the multiplication is separately continuous, and the involution is continuous.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 3 , October 1987 , pp. 445 - 453
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

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