Question

Proof for $\mathbf{v}\cdot\mathbf{v} = \| \mathbf{v} \|^2$

score 107 · Answer 1 · 2026-04-13 20:04:01

107

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Proof for $\mathbf{v}\cdot\mathbf{v} = \| \mathbf{v} \|^2$

Published on 13 Apr 2026 - 20:04

score 70 · Answer 2 · 2026-04-13 10:37:06

70

Views

Find the inner product under which is the following base orthonormal

Published on 13 Apr 2026 - 10:37

score 1.1k · Answer 3 · 2026-04-12 19:46:29

1.1k

Views

Linearity in first argument of $\langle X,Y\rangle =X^*MY $

Published on 12 Apr 2026 - 19:46

score 111 · Answer 4 · 2015-03-14 12:56:28

111

Views

Find all $ p \ge 1 $ for which the Hölder norm $\|\cdot\|_p $ is generated by a scalar product.

Published on 14 Mar 2015 - 12:56

score 55 · Answer 5 · 2015-03-14 22:32:06

55

Views

Which of these two is an inner product space

Published on 14 Mar 2015 - 22:32

score 7.6k · Answer 6 · 2026-04-11 04:58:29

7.6k

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Orthonormal basis of polynomials

Published on 11 Apr 2026 - 4:58

score 37 · Answer 7 · 2015-03-16 10:27:37

37

Views

$\max <x,q>$ when $x \in H$ Hilbert and $q \in A^\bot$

Published on 16 Mar 2015 - 10:27

score 1k · Answer 8 · 2026-03-28 22:37:53

1k

Views

Does $\langle Fv_j, Fv_j \rangle = \langle F^v_j, F^v_j \rangle$ imply that $F$ is normal?

Published on 28 Mar 2026 - 22:37

score 2.2k · Answer 9 · 2026-04-12 09:04:09

2.2k

Views

Gram-Schmidt and Inner Product Spaces

Published on 12 Apr 2026 - 9:04

score 284 · Answer 10 · 2026-04-13 02:18:36

284

Views

Inner Product on Linear Space of Continuous Functions

Published on 13 Apr 2026 - 2:18

score 110 · Answer 11 · 2015-03-20 15:41:40

110

Views

Find $f$ such that $\int_{-\pi}^{\pi}|f(x)-\sin(2x)|^2 \, dx$ is minimal

Published on 20 Mar 2015 - 15:41

score 43 · Answer 12 · 2026-04-12 01:31:22

43

Views

Orthonormal Basis of Two Subspaces

Published on 12 Apr 2026 - 1:31

score 191 · Answer 13 · 2015-03-21 01:56:10

191

Views

Prove that the Eigenvalues of this Matrix are in [0,1 ]

Published on 21 Mar 2015 - 1:56

score 40 · Answer 14 · 2026-04-12 16:16:58

40

Views

Why does this work? Fourier coefs. of function with min energy in window is eigenvector of window coef. matrix.

Published on 12 Apr 2026 - 16:16

score 91 · Answer 15 · 2026-04-08 22:16:29

91

Views

What would be a characterization of a definite operator?

Published on 08 Apr 2026 - 22:16

List Question

Proof for $\mathbf{v}\cdot\mathbf{v} = \| \mathbf{v} \|^2$

Find the inner product under which is the following base orthonormal

Linearity in first argument of $\langle X,Y\rangle =X^*MY $

Find all $ p \ge 1 $ for which the Hölder norm $\|\cdot\|_p $ is generated by a scalar product.

Which of these two is an inner product space

Orthonormal basis of polynomials

$\max <x,q>$ when $x \in H$ Hilbert and $q \in A^\bot$

Does $\langle Fv_j, Fv_j \rangle = \langle F^v_j, F^v_j \rangle$ imply that $F$ is normal?

Gram-Schmidt and Inner Product Spaces

Inner Product on Linear Space of Continuous Functions

Find $f$ such that $\int_{-\pi}^{\pi}|f(x)-\sin(2x)|^2 \, dx$ is minimal

Orthonormal Basis of Two Subspaces

Prove that the Eigenvalues of this Matrix are in [0,1 ]

Why does this work? Fourier coefs. of function with min energy in window is eigenvector of window coef. matrix.

What would be a characterization of a definite operator?

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