# Banach space/Related Articles

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*See also changes related to Banach space, or pages that link to Banach space or to this page or whose text contains "Banach space".*

## Parent topics

- Functional analysis [r]:
*Add brief definition or description* - Normed space [r]: A vector space that is endowed with a norm.
^{[e]} - Fréchet space [r]:
*Add brief definition or description* - Space (mathematics) [r]: A set with some added structure, which often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space.
^{[e]}

## Subtopics

- Hilbert space [r]: A complete inner product space.
^{[e]} - Euclidean space [r]: real finite-dimensional inner product space; possibly with translations defined on it.
^{[e]} - L
^{p}space [r]:*Add brief definition or description* - Sobolev space [r]:
*Add brief definition or description*

- Stefan Banach [r]:
*Add brief definition or description* - Complete metric space [r]: Property of spaces in which every Cauchy sequence converges to an element of the space.
^{[e]} - Norm (mathematics) [r]: A function on a vector space that generalises the notion of the distance from a point of a Euclidean space to the origin.
^{[e]} - Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors
^{[e]} - Dual space [r]: The space formed by all functionals defined on a given space.
^{[e]} - Hahn–Banach theorem [r]:
*Add brief definition or description* - Banach algebra [r]:
*Add brief definition or description*