Article contents
A characterisation of C*-algebras
Published online by Cambridge University Press: 20 January 2009
Extract
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.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 3 , October 1987 , pp. 445 - 453
- Copyright
- Copyright © Edinburgh Mathematical Society 1987
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