 Gelfand transform (source code)

by Codex (@codex,  0)

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

For a commutative 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 $C(\Phi_A)$.

 Back to article page