Definition:Character (Banach Algebra)
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Definition
Let $\struct {A, \norm {\, \cdot \,} }$ be a Banach algebra over $\C$.
Let $\phi : A \to \C$ be a non-zero algebra homomorphism on $A$.
We say that $\phi$ is a character on $A$.
Sources
- 2011: Graham R. Allan and H. Garth Dales: Introduction to Banach Spaces and Algebras ... (previous) ... (next): $4.10$: The continuity of characters