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What does it mean for two functions to be orthogonal?

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#fourier-analysis #hilbert-spaces #inner-products
569
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Inner Product Proof with Multiplication and Division?

Published on
#inner-products
57
Views

How could a bilinear form with positive coefficients fail to be an inner product?

Published on
#linear-algebra #inner-products
45
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Proving that this spaces are isometrically isomorphic

Published on
#real-analysis #inner-products
59
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Proving two facts of this space

Published on
#real-analysis #inner-products #vector-space-isomorphism
375
Views

Dot product and a norm

Published on
#normed-spaces #inner-products
144
Views

Missing step(s) in a proof that includes inner product and matrices.

Published on
#inner-products
183
Views

Orthonormal basis - Gaussian integral

Published on
#linear-algebra #inner-products #orthonormal
64
Views

Adjoint of an operator on an inner product space

Published on
#inner-products
354
Views

A vector $x$ is orthogonal to a set $E$ closed under scalar multiplication if and only if $\operatorname{dist}(x,E)=\|x\|$

Published on
#functional-analysis #inner-products
401
Views

Determining adjoint operator between spaces with different inner products

Published on
#linear-algebra #hilbert-spaces #inner-products #adjoint-operators
91
Views

Do I Understand Closed Versus Complete in Metric, Normed and Inner Product Spaces?

Published on
#metric-spaces #definition #normed-spaces #inner-products #complete-spaces
361
Views

Proof involving the inequality $\sum_{i=1}^n \langle v_i, w\rangle^{2} = \|w\|^2$

Published on
#linear-algebra #inner-products #orthonormal
55
Views

About members of a basis of an inner product space

Published on
#linear-algebra #inner-products
794
Views

Signature of the inner product.

Published on
#linear-algebra #inner-products #multilinear-algebra #exterior-algebra

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