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Semifinite traces on JBW-algebras

Published online by Cambridge University Press:  24 October 2008

W. P. C. King
W. P. C. King
Affiliation:
Department of Mathematics and Ballistics, Royal Military College of Science, Shrivenham, Swindon, Wilts SN6 8LA
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Extract

A JB-algebra is a real Jordan algebra A which is also a Banach space and whose norm and multiplication satisfy the two following conditions

(i) ∥a2∥ = ∥a∥2,

(ii) ∥a2 − b2∥ ≤ max{∥a2∥, ∥b2∥},

for all elements a and b in A. A JB-algebra which is also a Banach dual space is called a JBW-algebra. The properties of JB-algebras and JBW-algebras can be found in (3), (4), (8) and (15).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 3 , May 1983 , pp. 503 - 509
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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