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... Jordan algebra. A key instance of the Jordan triple product is the case when x = z (setting x.2 = x.x for notation). Here we get {xyx} = 2(x.y).x − x.2 .y. In a special Jordan algebra this becomes {xyx} = xyx in the associative product. To treat a Jordan algebra as a quadratic Jordan algebra this pr ...
... Jordan algebra. A key instance of the Jordan triple product is the case when x = z (setting x.2 = x.x for notation). Here we get {xyx} = 2(x.y).x − x.2 .y. In a special Jordan algebra this becomes {xyx} = xyx in the associative product. To treat a Jordan algebra as a quadratic Jordan algebra this pr ...
Noncommutative Uniform Algebras Mati Abel and Krzysztof Jarosz
... implies that (i) A is commutative, and further implies that (ii) A must be of a very speciÞc form, namely it must be isometrically isomorphic with a uniformly closed subalgebra of CC (X). We denote here by CC (X) the complex Banach algebra of all continuous functions on a compact set X. The obvious ...
... implies that (i) A is commutative, and further implies that (ii) A must be of a very speciÞc form, namely it must be isometrically isomorphic with a uniformly closed subalgebra of CC (X). We denote here by CC (X) the complex Banach algebra of all continuous functions on a compact set X. The obvious ...
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... and thus they span under R a real plane R2 , which is exactly equal to span(x, y)∩Rn and thus is invariant under AC and thus A. The eigenvalues of A restricted to the plane R2 defined above are λ and λ, since complexification does not change eigenvalues and (R2 )C contains ξ and ξ. That there are m ...
... and thus they span under R a real plane R2 , which is exactly equal to span(x, y)∩Rn and thus is invariant under AC and thus A. The eigenvalues of A restricted to the plane R2 defined above are λ and λ, since complexification does not change eigenvalues and (R2 )C contains ξ and ξ. That there are m ...