 Function space

A function space is a collection of functions with common domain and codomain, often supplied with a vector space structure and a norm or topology. Examples include L2 spaces and Sobolev spaces.

A **function space** is a set of functions that share certain properties and are equipped with a specific structure, often relating to the convergence of sequences of functions or the topology of functions. Function spaces are a fundamental concept in areas such as analysis, topology, and functional analysis.

Most notable example: $L^2$.