Functional analysis MOC

Function space

A function space is a set of functions between two fixed sets, which will often inherit structure from the domain or codomain space. A function space may be endowed with metric, vector, or topological properties.

• Function algebra
• Continuous function algebra
• Limits in a function space
• Space of fields

Metrics on a function space

• Supremum metric, related to uniform norm

%%norm on a function space, vector treatments, etc.%%

Normed function spaces

• Uniform norm

#state/develop | #lang/en | #SemBr