query: How find the norm $\|f_x\|$ of linear functional $f_x: C[a,b] \to \mathbb{R}$?
positive_passages.docid: 146026
positive_passages.text: What is the norm of this bounded linear functional?
negative_passages.docid: 89555
negative_passages.text: Inequality for the p norm of a convolution
negative_passages.docid: 36099
negative_passages.text: Show that $\|f\|^{2}$ attains a minimum value on the interior of $B$
negative_passages.docid: 97158
negative_passages.text: Prove that the operator norm is a norm
negative_passages.docid: 145535
negative_passages.text: Product norm on infinite product space
negative_passages.docid: 139272
negative_passages.text: On the norm of a quotient of a Banach space.
negative_passages.docid: 119479
negative_passages.text: Derivative with respect to a 2-norm
negative_passages.docid: 155317
negative_passages.text: Norm of adjoint operator in Hilbert space
negative_passages.docid: 17336
negative_passages.text: Least norm in convex set in Banach space
negative_passages.docid: 38761
negative_passages.text: Is the $ L^{p}$$[0,1]$ norm continuous in p?
negative_passages.docid: 149664
negative_passages.text: Norm is sup of inner products (proof).
negative_passages.docid: 120676
negative_passages.text: A certain element which makes functionals positive
negative_passages.docid: 141674
negative_passages.text: Given $n$ linear functionals $f_k(x_1,\dotsc,x_n) = \sum_{j=1}^n (k-j)x_j$, what is the dimension of the subspace they annihilate?
negative_passages.docid: 129465
negative_passages.text: Minimizing Frobenius norm of a special type
negative_passages.docid: 132869
negative_passages.text: Show that any bounded linear functional on a normed linear space is continuous
negative_passages.docid: 65876
negative_passages.text: A normed space of continuous functions with norm $\int_{0}^{1}|f(t)|dt$ is not complete
negative_passages.docid: 15839
negative_passages.text: equivalent norms in Banach spaces of infinite dimension