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normed_vector_space [2013/09/05 01:58] nikolaj |
normed_vector_space [2013/09/05 21:02] nikolaj |
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| - | ===== Vector space ===== | + | ===== Normed vector space ===== |
| ==== Definition ==== | ==== Definition ==== | ||
| - | | @#88DDEE: $V$ ... $\mathcal F$-vector space | | + | | @#88DDEE: $V$ ... $F$-vector space | |
| - | | @#FFBB00: $V$ ... normed $\mathcal F$-vector space | | + | | @#FFBB00: $\langle V,\Vert\cdot\Vert\rangle$ ... normed $F$-vector space | |
| - | | @#55EE55: $...$ | | + | | @#55EE55: $\Vert\cdot\Vert\in\mathrm{Norm}(V)$ | |
| - | + | ||
| - | >todo | + | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| Line 15: | Line 13: | ||
| === Subset of === | === Subset of === | ||
| [[Vector space]] | [[Vector space]] | ||
| + | === Requirements === | ||
| + | [[Norm]] | ||
