Trouble in proving that $\|x\|_p = \max|x_j|$
10383
The $ l^{\infty} $-norm is equal to the limit of the $ l^{p} $-norms.
76689
How to prove $C_1 \|x\|_\infty \leq \|x\| \leq C_2 \|x\|_\infty$?
34768
Proving $(p \oplus q) \oplus r=p \oplus (q \oplus r)$
148790
Basic question about proofs with the goal $\exists x P(x)$
30386
Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
143936
Show that $f(x)=||x||^p, p\ge 1$ is convex function on $\mathbb{R}^n$
10478
Matrix reciprocal positive to prove $λ_{max⁡}=n$
20863
how do I prove this inequallity?
14448
Elementary proof that $|x|^p$ is convex.
149544
maximum of monic polynomial on unit circle is 1 implies $p(z)=z^n$
142785
How can I prove Holder inequality for $0<p<1$?
147888
Show that $M=\bigcap_{\mathfrak{p}\in\operatorname{Spec}(R)}M_\mathfrak{p}=\bigcap_{\mathfrak{m}\in\text{Max}(R)}M_\mathfrak{m}$ for certain $M$.
158863
How to prove $\sum_p p^{-2} < \frac{1}{2}$?
52711
Prove that the sequence $\{v_n\}$ converges to the maximum value of $f$ on $[a,b]$
150896
Show that $\lim_{p \to \infty} \| f \|_p = \| f \|_\infty$
143900
how can be prove that $\max(f(n),g(n)) = \Theta(f(n)+g(n))$
129331
Prove that $|x^p - y^p| \le p|x-y|(x^{p-1} + y^{p-1})$ provided that $1 \le p \lt \infty$ and $x, y \ge 0$