On the centres of hereditary JBW-subalgebras of a JBW-algebra
Published online by Cambridge University Press: 24 October 2008
Extract
A JB-algebra A is a real Jordan algebra, which is also a Banach space, the norm in which satisfies the conditions that
and
for all elements a and b in A. It follows from (1.1) and (l.2) that
for all elements a and b in A. When the JB-algebra A possesses an identity element then A is said to be a unital JB-algebra and (1.2) is equivalent to the condition that
for all elements a and b in A. For the general theory of JB-algebras the reader is referred to (2), (3), (7) and (10).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 2 , March 1979 , pp. 317 - 324
- Copyright
- Copyright © Cambridge Philosophical Society 1979
References
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