Category:Definitions/Star-Algebras
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This category contains definitions related to Star-Algebras.
Related results can be found in Category:Star-Algebras.
Let $A = \struct {A_F, \oplus}$ be an unitary division algebra.
Let $A$ have a mapping $*: A_F \to A_F$ such that:
- $\forall a \in A_F: \paren {a^*}^* = a$
- $\forall a, b \in A_F: \paren {a \oplus b}^* = b^* \oplus a^*$
Then $A$ is a $*$-algebra (usually voiced star-algebra).
Subcategories
This category has the following 2 subcategories, out of 2 total.
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Pages in category "Definitions/Star-Algebras"
The following 4 pages are in this category, out of 4 total.