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Is the preimage of the image of a convex set by the subgradiant of a convex function, also convex?

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#convex-analysis #monotone-functions
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Clear difference between unitary matrix and semi-unitary matrices?

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#linear-algebra #convex-analysis #nonlinear-optimization
320
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The minimizer of $2$-norm

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#real-analysis #functional-analysis #convex-analysis
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How can I prove this theorem regarding the sub-gradient of p-norm using Holder Inequality?

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#real-analysis #convex-analysis
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Can I prove Hölder's inequality given duality of $p$- and $q$-norms?

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#real-analysis #linear-algebra #functional-analysis #convex-analysis
223
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An example of a not locally bounded convex function

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#convex-analysis #examples-counterexamples
889
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Example of minimal norm elements in a convex subset

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#functional-analysis #convex-analysis #normed-spaces
92
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Reference request: Quasiconvex function

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#reference-request #convex-analysis #convex-optimization
219
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Characterization of concave functions

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#real-analysis #functions #convex-analysis
48
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Mean Width of a Planar Compact Set with More than 1 component

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#convex-analysis #convex-geometry
152
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Convexity of Inverse Function if Not Differentiable

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#functions #convex-analysis
603
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Projection of closed convex sets

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#geometry #convex-analysis
406
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Minimization of a linear functional over a set by support function

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#optimization #convex-analysis #convex-optimization
410
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Relative interior of a set is the interior of a set and the relation with hyperplane

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#real-analysis #functional-analysis #convex-analysis #convex-optimization
155
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Reference. Recession cone and max-min of a function.

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#reference-request #convex-analysis #convex-optimization #reference-works

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