Let be a T2-topological space and let be the space of all bounded complex-valued continuous functions defined on . The supremum norm is the norm defined on F by
Then is a commutative Banach algebra with identity.
Let be a T2-topological space and let be the space of all bounded complex-valued continuous functions defined on . The supremum norm is the norm defined on F by
Then is a commutative Banach algebra with identity.
Portions of this entry contributed by José Carlos Santos
Portions of this entry contributed by John Derwent
Derwent, John; Santos, José Carlos; and Weisstein, Eric W. "Supremum Norm." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SupremumNorm.html