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normed_vector_space [2013/09/05 01:58] nikolaj |
normed_vector_space [2013/09/05 21:00] nikolaj |
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===== Vector space ===== | ===== 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 ==== | ||
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=== Subset of === | === Subset of === | ||
[[Vector space]] | [[Vector space]] | ||
+ | === Requirements === | ||
+ | [[Norm]] |