Show that two definitions of matrix norm are in fact equivalent $\max\limits_{ x \neq 0} \dfrac{\|Ax\|}{\|x\|} = \max\limits_{\|x\| = 1} \|Ax\|$
62425
Equivalent Definitions of the Operator Norm
78654
An example of a norm which can't be generated by an inner product
70415
Comparison between the $\ell_1$ and $\ell_2$ norms
51302
Show that the operator norm is submultiplicative
50160
The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.
146405
Norm with symmetric positive definite matrix
97121
A question on subordinate matrix norm
67625
$C([0, 1])$ is not complete with respect to the norm $\lVert f\rVert _1 = \int_0^1 \lvert f (x) \rvert \,dx$
148954
Understanding a statement about equivalent norms ($||\cdot ||_2 \sim||\cdot||_1 $)
95677
Linear Matrix Inequality of a matrix $T$ with $\| T \|_2 < \rho$
117246
Show that $\lim\limits_{a \to 0^+} \int^1_0 ax^{a−1}f(x)dx=f(0)$.
78941
proof that an alternative definition of limit is equivalent to the usual one
105587
Given two equivalent norms, convergence in one implies convergences in other.
51177
When are two norms equivalent on a Banach space?
3273
Trouble in proving that $\|x\|_p = \max|x_j|$
116273
Does every $\mathbb{R},\mathbb{C}$ vector space have a norm?
123732
Proving that the maximum of two convex functions is also convex