query: Norm in $\mathcal{C}[\Bbb{R},\Bbb{R}]$
positive_passages.docid: 150572
positive_passages.text: Explicit norm on $\mathcal{C}^0(\mathbb{R},\mathbb{R})$
negative_passages.docid: 96363
negative_passages.text: How to show that $\mathbb R^n$ with the $1$-norm is not isometric to $\mathbb R^n$ with the infinity norm for $n>2$?
negative_passages.docid: 14516
negative_passages.text: The space of continuous functions $C([0,1])$ is not complete in the $L^2$ norm
negative_passages.docid: 63608
negative_passages.text: Cauchy sequence in a normed space
negative_passages.docid: 114193
negative_passages.text: On the absolute norm of an ideal
negative_passages.docid: 139272
negative_passages.text: On the norm of a quotient of a Banach space.
negative_passages.docid: 55067
negative_passages.text: Norm of self-adjoint operator
negative_passages.docid: 125623
negative_passages.text: Subspaces of separable normed spaces
negative_passages.docid: 76140
negative_passages.text: The supremum norm is submultiplicative
negative_passages.docid: 118564
negative_passages.text: Dual cone of a $L^1$ norm cone?
negative_passages.docid: 57166
negative_passages.text: Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question
negative_passages.docid: 145390
negative_passages.text: Formal power series ring, norm.
negative_passages.docid: 70711
negative_passages.text: Inequality between 2 norm and 1 norm of a matrix
negative_passages.docid: 93511
negative_passages.text: Prove that $C^1([a,b])$ with the $C^1$- norm is a Banach Space
negative_passages.docid: 154913
negative_passages.text: Are all the norms of $L^p$ space equivalent?
negative_passages.docid: 67625
negative_passages.text: $C([0, 1])$ is not complete with respect to the norm $\lVert f\rVert _1 = \int_0^1 \lvert f (x) \rvert \,dx$
negative_passages.docid: 37924
negative_passages.text: Equivalence of norms proof