Show that the modulus of a complex number is a norm
27272
Triangle Inequality with Complex Numbers
150572
Explicit norm on $\mathcal{C}^0(\mathbb{R},\mathbb{R})$
103536
How to prove $|e^{i\theta} - 1| \leq |\theta|$?
105719
Complex numbers modulo integers
26501
Proof using complex numbers
138944
Is $\mathbb Z[\sqrt{-3}]$ Euclidean under some other norm?
44496
Norm $N$ on $\Bbb Z[\sqrt d]$ is multiplicative, $N(x)$ prime $\Rightarrow x$ irreducible
95266
Show $|t|\leq \pi \Rightarrow |e^{it}-1|\geq 2|t|/ \pi$
62590
Show norm preserving property and determine Eigenvalues
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
137718
Prove that the complex expression is real
87582
Some inequalities between 1- norm, 2- norm and infinity-norm: $\|x\|_2\leq\sqrt{\|x\|_1\| x\|_\infty}\leq\frac{1+\sqrt{n}}{2}\|x\|_2$
94424
Matrices and Eigenvalues of Norm
17164
How do you show monotonicity of the $\ell^p$ norms?
49087
Show that a norm on an inner product space satisfies parallelogram law.
127248
Norm and unit sphere
140968
Proof for Property of Complex Numbers