an inequality in Banach algebra
138212
Please help me prove: $v(a+b)\leq v(a)+v(b)$, and $v(ab)\leq v(a)v(b)$ where $v(x)=\inf{\{\vert x^n \vert}^{1/n}: n\in\mathbb{N}\}$
71848
Show that $(L^{p},\|\|_{p})$ is a Banach space.
148451
Polynomial inequality proof
22689
Reference for trace/norm inequality
132491
How to show that $C=C[0,1]$ is a Banach space
71682
Proving that $X$ is a Banach space iff convergence of $\sum\|x_n\|$ implies convergence of $\sum x_n$
34173
Banach spaces and their unit sphere
51177
When are two norms equivalent on a Banach space?
7974
lim sup inequality $\limsup ( a_n b_n ) \leq \limsup a_n \limsup b_n $
156855
separable Banach space with Banach-Mazur distances to $\ell_2^n$ bounded must be isomorphic to $\ell_2$?
38850
How to show Von Neumann Trace inequality $ \text{Tr}(AB) \leq \sum_{i=1}^n \sigma_{A,i}\sigma_{B,i} $?
142785
How can I prove Holder inequality for $0<p<1$?
93511
Prove that $C^1([a,b])$ with the $C^1$- norm is a Banach Space
153823
$|\text{rank}A-\text{rank}B|\leq \text{rank}(A+B)$
5369
Proving the inequality $|a-b| \leq |a-c| + |c-b|$ for real $a,b,c$
104881
Showing that two Banach spaces are homeomorphic when their dimensions are equal.
81112
Proving that the dual of the $\mathcal{l}_p$ norm is the $\mathcal{l}_q$ norm.