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frechet_derivative [2014/03/21 11:11]
127.0.0.1 external edit
frechet_derivative [2016/12/29 16:31] (current)
nikolaj
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 | @#55CCEE: context ​    | @#55CCEE: $X,Y$ ... Banach spaces with topology | | @#55CCEE: context ​    | @#55CCEE: $X,Y$ ... Banach spaces with topology |
 | @#55CCEE: context ​    | @#55CCEE: $\mathcal O$ ... open in $X$ | | @#55CCEE: context ​    | @#55CCEE: $\mathcal O$ ... open in $X$ |
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 | @#FFBB00: definiendum | @#FFBB00: $D:​\mathrm{Continuous}(\mathcal O,Y)\to \mathrm{Continuous}(\mathcal O,​\mathrm{BoundedLinOp}(X,​Y))$ | | @#FFBB00: definiendum | @#FFBB00: $D:​\mathrm{Continuous}(\mathcal O,Y)\to \mathrm{Continuous}(\mathcal O,​\mathrm{BoundedLinOp}(X,​Y))$ |
 | @#FFBB00: definiendum | @#FFBB00: $Df:​=x\mapsto J_x^f$ | | @#FFBB00: definiendum | @#FFBB00: $Df:​=x\mapsto J_x^f$ |
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