Semifinite traces on JBW-algebras
Published online by Cambridge University Press: 24 October 2008
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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