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normed_vector_space [2013/09/05 21:02] nikolaj |
normed_vector_space [2014/03/21 11:11] 127.0.0.1 external edit |
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===== Normed vector space ===== | ===== Normed vector space ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $V$ ... $F$-vector space | | + | | @#55CCEE: context | @#55CCEE: $V$ ... $F$-vector space | |
- | | @#FFBB00: $\langle V,\Vert\cdot\Vert\rangle$ ... normed $F$-vector space | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle V,\Vert\cdot\Vert\rangle$ ... normed $F$-vector space | |
- | | @#55EE55: $\Vert\cdot\Vert\in\mathrm{Norm}(V)$ | | + | | @#55EE55: postulate | @#55EE55: $\Vert\cdot\Vert\in\mathrm{Norm}(V)$ | |
==== Discussion ==== | ==== Discussion ==== | ||
=== Reference === | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Normed_vector_space|Normed vector space]] | Wikipedia: [[http://en.wikipedia.org/wiki/Normed_vector_space|Normed vector space]] | ||
- | ==== Context ==== | + | ==== Parents ==== |
=== Subset of === | === Subset of === | ||
[[Vector space]] | [[Vector space]] | ||
- | === Requirements === | + | === Context === |
[[Norm]] | [[Norm]] |