Banach space/Related Articles: Difference between revisions
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imported>Richard Pinch m (→Other related topics: update link) |
imported>Boris Tsirelson (→Parent topics: Space (mathematics)) |
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{{r|Normed space}} | {{r|Normed space}} | ||
{{r|Fréchet space}} | {{r|Fréchet space}} | ||
{{r|Space (mathematics)}} | |||
==Subtopics== | ==Subtopics== |
Revision as of 14:14, 28 July 2009
- 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