query: Norm Equals Supremum of Inner Product when ||w||=1?
positive_passages.docid: 149664
positive_passages.text: Norm is sup of inner products (proof).
negative_passages.docid: 150415
negative_passages.text: Pseudoinverse and norm
negative_passages.docid: 115464
negative_passages.text: Inequality involving inner product and norm
negative_passages.docid: 121504
negative_passages.text: Supremum of a product measurable function...
negative_passages.docid: 33673
negative_passages.text: Proving $N(x) = (A(x,x))^\frac12$ is a norm in $V$ given that A is a positive definite bilinear form
negative_passages.docid: 93076
negative_passages.text: When $\min \max = \max \min$?
negative_passages.docid: 97121
negative_passages.text: A question on subordinate matrix norm
negative_passages.docid: 69766
negative_passages.text: Is every normed vector space, an inner product space
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: 66084
negative_passages.text: Prove 1-Norm is a Norm
negative_passages.docid: 155317
negative_passages.text: Norm of adjoint operator in Hilbert space
negative_passages.docid: 91348
negative_passages.text: Why is the Ideal Norm Multiplicative?
negative_passages.docid: 146026
negative_passages.text: What is the norm of this bounded linear functional?
negative_passages.docid: 50160
negative_passages.text: The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.
negative_passages.docid: 61931
negative_passages.text: Positive operator is bounded
negative_passages.docid: 33485
negative_passages.text: norm of integral operator in $C([0,1])$
negative_passages.docid: 137511
negative_passages.text: Trying to show that $\sup \{b^p:p\in Q,\;0<p<x\} = \inf\{b^q:q\in Q,\;x<q\}$