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