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 Apr11 awarded Mortarboard Apr7 comment Fake proof: Equivalence of norms $\mu$ depends on $f$ while $\alpha$ should not depend on $f$ but it does if you want to fulfill your last inequality. Apr5 answered (Updated) Geometric Illustration of Monotone and Maximal Monotone Maps Apr5 comment (Updated) Geometric Illustration of Monotone and Maximal Monotone Maps You need to be more specific. What is a "geometric illustration" as well as an "excellent example" for you? You want only maximal monotone operators in finite dimensions? The literature on maximal monotone operators is extremely broad. Mar12 comment arclength parametrization intuition The speed of drawing the curve in the standard parametrization is $1$. Mar7 answered Why is $(T + N_X)(x) \subset T(x)$ when $Dom T \subset X$? Mar6 comment Closure of the interior of the epigraph Yes, the closure of the non-empty interior of a closed convex set is the set itself in any linear topological space. You can find this result in Holmes: "Geometric Functional Analysis and its Applications" on p. 59 and its proof is based on the continuity of the operations. Feb18 answered Non-linear analysis Feb17 revised Example of maximal monotone operators in non-reflexive Banach spaces with applications in PDE added 100 characters in body Feb12 comment Example of maximal monotone operators in non-reflexive Banach spaces with applications in PDE Of course any subdifferential is maximal monotone and is involved in variational inequalities (in any Banach space). What about examples that do not depend on the subdifferential? Feb12 asked Example of maximal monotone operators in non-reflexive Banach spaces with applications in PDE Feb6 revised Continuity of the dual product reloaded deleted 21 characters in body Feb6 comment Continuity of the dual product reloaded @DanielFischer You're right. I modified it so it holds. It seems that your argument also holds for non-reflexive spaces. Please write it as an answer. Feb6 revised Continuity of the dual product reloaded added 76 characters in body Jan18 awarded Fanatic Jan13 asked Continuity of the dual product reloaded Jan13 comment Is my proof that if $x_n$ is a sequence such that $x_n \rightarrow +\infty$ then $(1+\frac{1}{x_n})^{x_n}\rightarrow e$ correct? Is $x_n$ an integer? Jan12 comment Is my proof that if $x_n$ is a sequence such that $x_n \rightarrow +\infty$ then $(1+\frac{1}{x_n})^{x_n}\rightarrow e$ correct? Your solution is not correct. Maybe take a look at how you prove that $(1+1/n)^n\to e$ and try from there. Jan11 awarded Yearling Jan11 comment Is the biconjugate of a continuous functions also continuous? @Quickbeam2k1 I was talking about $f^{**}$ which can be identically $-\infty$. You still have to show that $f^{**}$ is proper. Convex Analysis by R.T. Rockafellar Theorem 10.1 p.82 has the finite dimensional case.