Top Network Posts

• 13 Given $T \in L(X,Y)$, show the equivalence between: existence of $S$ such that $S(T(x))=x$, and $T$ being injective with $T(X)$ complemented in $Y$
• 11 If every subsequence of $(x_n)$ has a subsequence converging weakly to $x$ then $x_n$ converges weakly to $x$.
• 10 Distances and speeds
• 7 Examples of $(\mathcal K^\bot)^\bot=\mathcal K$ failing.
• 7 Extending an equality from a dense subspace - possible mistake in a proof.
• 6 How to prove that: $\forall a \in \Bbb R,$ $\|f+a\|_p\ge \frac12\|f\|_p$ when $\int_\Omega f(x)dx= 0$
• 6 Solving functional differential equation $f'(x)=2f(2x)-f(x)$
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