If $f$ is $L^p$ then $f\circ \phi$ is $L^p$
124844
Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$
102079
If $1\leq p < \infty$ then show that $L^p([0,1])$ and $\ell_p$ are not topologically isomorphic
26112
Inclusion of $l^p$ space for sequences
141166
How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$ is injective, then $\phi$ is also injective?
128305
$PGL(n, F)=PSL(n, F)$
17316
If $a^\phi = 1$ then the order of $a$ divides $\phi$
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 $x, y \ge 0$
26658
A proof for $\nabla |u|^p = p\ \text{sgn}(u)|u|^{p-1}\nabla u$.
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
153869
Under what $p$, $-1$ is a square in $\mathbf F_p$?
114347
Sequence of a product of functions in $L^p. L^q$ with $p,q$ conjugate
67283
Is $L^{p}$ space with alternate norm Banach?
62615
If F is a finite field, then $F^F=P_F$.
121957
Is $p\mapsto \|f\|_p$ continuous?
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$
154913
Are all the norms of $L^p$ space equivalent?
32092
Gelfand transformation of $l^p$