 ##  [Function Space](/function-space) 

  ##  [Function Space](https://mathlogic.quantumdictionary.io/function-space-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A set whose elements are functions and which is endowed with additional structure (topology, norm, inner product, metric) that permits analysis of convergence, continuity, and approximation.