Normed space/Related Articles: Difference between revisions
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Revision as of 18:05, 11 January 2010
- See also changes related to Normed space, or pages that link to Normed space or to this page or whose text contains "Normed space".
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- Banach space [r]: A vector space endowed with a norm that is complete. [e]
- Bounded set [r]: A set for which there is a constant C such that the norm of all elements in the set is less than C. [e]
- Compact space [r]: A toplogical space for which every covering with open sets has a finite subcovering. [e]
- Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. [e]
- Metric space [r]: Any topological space which has a metric defined on it. [e]
- 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]
- 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]