$R$ euclidean domain, show $\tilde{N}(a)=\min_{0\neq x\in\left}N(x)$ is a norm
130073
$N(ab) \geq N(a)$ is not necessary for the ring to be euclidean
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
88535
Relation between the distance from a point to the resolvent set of a self-adjoint operator and the norm of a related operator
73254
spectral radius in normed space is subadditive.
103550
Multiplicative Euclidean Function for an Euclidean Domain
87395
Evaluating $\int_{I^n} \left( \min_{1\le i \le n}x_i \right)^{\alpha}\,\, dx$
34272
Proving definition of norms induced by vector norms
13983
Show that If $R[X]$ is Euclidean domain then $R$ is a field
152196
About inner products, norms and metrics
54957
The necessary and sufficient condition for a unit element in Euclidean Domain
144112
Show that $c_0$ is a Banach space with the norm $\rVert \cdot \lVert_\infty$
778
For $x∈\mathbb{R}^n$ , let $B(x,r)$ denote the closed ball in $\mathbb{R}^n$(with Euclidean norm) of radius $r$ centered at $x$
97158
Prove that the operator norm is a norm
78654
An example of a norm which can't be generated by an inner product
119479
Derivative with respect to a 2-norm
157455
Show that the norm of the multiplication operator $M_f$ on $L^2[0,1]$ is $\|f\|_\infty$
82339
When is this norm defined?