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Real inner product from a complex one

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#linear-algebra #inner-products
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Cauchy-Schwarz and Bessel's Inequalities

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#inequality #inner-products
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Inner product spaces that are isometrically isomorphic

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If $X$ is an orthogonal matrix, why does $X^TX = I$?

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Quick question about sum of subspaces of a Hilbert space

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#hilbert-spaces #inner-products
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What does it mean for two $2 \times 2$ matrices to be orthogonal to each other?

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Fourier coefficients of the product of two functions

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#fourier-analysis #fourier-series #inner-products
260
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How to prove that the corresponding matrix is unitary

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#matrices #eigenvalues-eigenvectors #inner-products #diagonalization
328
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What's this matrix called?

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#matrices #notation #inner-products
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why must orthogonal polynomials each have distinct roots?

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#recurrence-relations #inner-products #orthogonal-polynomials
367
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Show that $\langle x,y\rangle_T$ is an inner product

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#linear-algebra #matrices #inner-products
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Show that if $T_1$, $T_2$ are normal operators that commute then $T_1+T_2$ and $T_1T_2$ are normal.

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#linear-algebra #inner-products
505
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3 equations with 9 unknown variables with scalar product

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#vector-spaces #inner-products
462
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sobolev space-equivalence of scalar product

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#partial-differential-equations #sobolev-spaces #inner-products
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Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero

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#linear-algebra #operator-theory #inner-products

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