Banach space > Related Articles

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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

Other related topics

• 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