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]
- Lp 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
- Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. [e]
- Almost sure convergence [r]: The probability that the given sequence of random variables converges is 1. [e]
- Normed space [r]: A vector space that is endowed with a norm. [e]
- Totally bounded set [r]: A subset of a metric space with the property that for any positive radius it is coveted by a finite union of open balls of given radius. [e]