query: Proving equality with a norm of a linear functional
positive_passages.docid: 144656
positive_passages.text: Linear functional and a bounded norm
negative_passages.docid: 77026
negative_passages.text: Proof with inequalities
negative_passages.docid: 33485
negative_passages.text: norm of integral operator in $C([0,1])$
negative_passages.docid: 126632
negative_passages.text: Proving Inequalities with Absolute values
negative_passages.docid: 125209
negative_passages.text: Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$
negative_passages.docid: 98759
negative_passages.text: Proof of "Dual normed vector space is complete"
negative_passages.docid: 90435
negative_passages.text: Prove that there exist linear functionals $L_1, L_2$ on $X$
negative_passages.docid: 128558
negative_passages.text: Inequality between $\ell^p$-norms
negative_passages.docid: 112548
negative_passages.text: Existence of non-trivial linear functional on any vector space
negative_passages.docid: 94077
negative_passages.text: Proof of linear independence of $e^{at}$
negative_passages.docid: 70711
negative_passages.text: Inequality between 2 norm and 1 norm of a matrix
negative_passages.docid: 103806
negative_passages.text: How to prove triangle inequality for $p$-norm?
negative_passages.docid: 93121
negative_passages.text: How to prove there exists a linear transformation?
negative_passages.docid: 62428
negative_passages.text: How to prove this inequality in Banach space?
negative_passages.docid: 91022
negative_passages.text: How do I prove that a subspace of a vector space $X$ is the null space of some linear functional on $X$?
negative_passages.docid: 51267
negative_passages.text: Showing a generalized version of the Hölder inequality for $L^{p}$ spaces
negative_passages.docid: 22689
negative_passages.text: Reference for trace/norm inequality