query: Definition of norm when dealing with inner product space
positive_passages.docid: 152196
positive_passages.text: About inner products, norms and metrics
negative_passages.docid: 97949
negative_passages.text: Existence of a $\mathbb C$-Banach space isometric to a Hilbert Space but whose norm is not induced by an inner product?
negative_passages.docid: 134131
negative_passages.text: Squared norm of matrix equal to squared norm of its transpose
negative_passages.docid: 69766
negative_passages.text: Is every normed vector space, an inner product space
negative_passages.docid: 33485
negative_passages.text: norm of integral operator in $C([0,1])$
negative_passages.docid: 34272
negative_passages.text: Proving definition of norms induced by vector norms
negative_passages.docid: 146405
negative_passages.text: Norm with symmetric positive definite matrix
negative_passages.docid: 148804
negative_passages.text: Norm-Euclidean rings?
negative_passages.docid: 10907
negative_passages.text: Necessity of completeness of the inner product space in Riesz representation theorem
negative_passages.docid: 145535
negative_passages.text: Product norm on infinite product space
negative_passages.docid: 71316
negative_passages.text: Two inner products being equal up to a scalar
negative_passages.docid: 38372
negative_passages.text: Ways to compute inner products of tensors
negative_passages.docid: 112060
negative_passages.text: Is complex conjugation needed for valid inner product?
negative_passages.docid: 73254
negative_passages.text: spectral radius in normed space is subadditive.
negative_passages.docid: 15839
negative_passages.text: equivalent norms in Banach spaces of infinite dimension
negative_passages.docid: 77716
negative_passages.text: Not every metric is induced from a norm
negative_passages.docid: 57660
negative_passages.text: Biliniear form to inner product