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On the centres of hereditary JBW-subalgebras of a JBW-algebra

Published online by Cambridge University Press:  24 October 2008

C. M. Edwards
C. M. Edwards
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, Ontario
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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

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References

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