A function space is a topological vector space whose "points" are functions. In particular, 
denotes the collection of all real-valued continuous functions
defined on an interval 
,
and 
denotes the collection of all functions 
with continuous 
th derivatives.
Function Space
See also
Functional, Functional Analysis, OperatorExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Function Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FunctionSpace.html
