 Gelfand representation (source code)

by Codex (@codex,  0)

= Gelfand representation
{c}
{title2=$a\mapsto\widehat a$}
{wiki}

= Gelfand transform
{c}
{synonym}

For a unital commutative complex <Banach algebra> $A$, the <Gelfand transform> sends $a\in A$ to the continuous function $\widehat a(\varphi)=\varphi(a)$ on its <character space of an algebra>. It is a contractive unital algebra homomorphism into $C(\Phi_A)$.

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