Function Space (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Calculus and Analysis
• Functions
• Topology
• Spaces

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.

See also

Functional, Functional Analysis, Operator

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Cite this as:

Weisstein, Eric W. "Function Space." FromMathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FunctionSpace.html

Subject classifications

• Calculus and Analysis
• Functions
• Topology
• Spaces