Sur la théorie de structure des -algèbres de Jordan non commutatives
Moufang H*-algebras.
On one-sided division infinite-dimensional normed real algebras.
In this note we introduce the concept of Cayley homomorphism which is closely related with those of composition algebra and normalized orthogonal multiplication. The key result shows the existence of certain types of Cayley homomorphisms for infinite dimension. As an application we prove the existence of left division infinite-dimensional complete normed real algebras with left unity.
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