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

Author:

Edwards C. M.

Abstract

A JB-algebra A is a real Jordan algebra, which is also a Banach space, the norm in which satisfies the conditions thatandfor all elements a and b in A. It follows from (1.1) and (l.2) thatfor 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 thatfor all elements a and b in A. For the general theory of JB-algebras the reader is referred to (2), (3), (7) and (10).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Jordan C*-algebras;Wright;Michigan Math. J.

2. Jordan algebras of self-adjoint operators;Topping;Mem. Amer. Math. Soc.,1965

3. On non-unital Jordan–Banach algebras

4. On the facial structure of a JB-algebra;Edwards;J. London Math. Soc.

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1. The centroid of a weak * -closed inner ideal in a JBW * -triple;Archiv der Mathematik;2001-04-01

2. The jordan regular ring associated to a finite JBW-algebra;Journal of Algebra;1987-10

3. Jordan operator algebras;Journal of Soviet Mathematics;1987-06

4. Quantum measures and states on Jordan algebras;Communications in Mathematical Physics;1985-06

5. References;North-Holland Mathematics Studies;1985

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