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15
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Is the norm from a normed vector space the same as the norm from an inner product space?

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#linear-algebra #normed-spaces #inner-products
278
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Affine function $\mathbb{R}^n \to \mathbb{R}^n$ preserves angles if it maps a ball to a ball

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#inner-products #affine-geometry
75
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Meaning of dot product of two vectors

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#linear-algebra #vectors #inner-products
57
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Finding an explicit formula for the projection on a subspace of $\ell^2$

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#hilbert-spaces #inner-products #projection
47
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Why is this proof in diff eq by George Simmons for Schwarz's inequality seemingly arbitrary?

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#inner-products #riemann-integration #cauchy-schwarz-inequality
31
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Help with an integral involving associated Legendre functions?

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#integration #inner-products #spherical-harmonics #legendre-functions
95
Views

Isometry from $\mathbb{C}^2$ to $\mathbb{C}^3$?

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#complex-numbers #hilbert-spaces #inner-products #isometry
64
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An inequality concerning points in an inner product space

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#functional-analysis #hilbert-spaces #inner-products
42
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Positive semidefiniteness of a RKHS

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#hilbert-spaces #inner-products #positive-semidefinite #reproducing-kernel-hilbert-spaces
49
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Sesquilinear, quadratic and polar forms

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#linear-algebra #functional-analysis #linear-transformations #inner-products
76
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Maximum number of unit vectors with pairwise modulus-equal inner product

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#linear-algebra #vector-spaces #inner-products
33
Views

Construction of orthogonal matrices from orthogonal polynomials

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#inner-products #orthogonality #orthogonal-matrices #orthogonal-polynomials
51
Views

Inner product defined with matrix

Published on
#matrices #solution-verification #inner-products
58
Views

Proof Position Operator Is Dense

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#real-analysis #functional-analysis #operator-theory #inner-products #unbounded-operators
124
Views

An orthonormal sequence in an inner product space converges weakly to $0$.

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#functional-analysis #hilbert-spaces #inner-products

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