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frechet_derivative [2014/03/21 11:11] 127.0.0.1 external edit |
frechet_derivative [2016/12/29 16:31] 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: $Df:=x\mapsto J_x^f$ | | ||
