Question

please explain differences in the inner product of two functions in Hilbert and Lebesgue space

score 79 · Answer 1 · 2026-04-11 18:40:35

79

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please explain differences in the inner product of two functions in Hilbert and Lebesgue space

Published on 11 Apr 2026 - 18:40

score 23 · Answer 2 · 2026-04-15 08:46:25

23

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Derivative of expressions with field conjugates

Published on 15 Apr 2026 - 8:46

score 20 · Answer 3 · 2026-04-15 08:50:26

20

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$\underset{\omega}{\max}\; \omega^{\top}\cdot F(\omega') \leq \underset{\omega}{\max}\; \omega^{\top}\cdot F(\omega),\; \forall \omega'?$

Published on 15 Apr 2026 - 8:50

score 56 · Answer 4 · 2026-04-16 08:46:25

56

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For $ [T]_{\mathcal{B}}=\left(\begin{array}{lll} a & & \\ & b & \\ & & c \end{array}\right) $, Prove that $T$ is self-adjoint if and only if $a=b$.

Published on 16 Apr 2026 - 8:46

score 41 · Answer 5 · 2026-04-15 03:10:17

41

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Inequality of fourier transform for $L^2$ functions

Published on 15 Apr 2026 - 3:10

score 90 · Answer 6 · 2026-04-13 22:51:13

90

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Derivation of hodge dual of different bivectors

Published on 13 Apr 2026 - 22:51

score 184 · Answer 7 · 2026-04-12 19:07:11

184

Views

Orthogonal Matrix with respect to different inner products

Published on 12 Apr 2026 - 19:07

score 23 · Answer 8 · 2026-04-16 17:33:13

23

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Given $\vec y \in \mathbb{R}^n$, compute the operator norm $\lVert f\rVert_{op}$, where $f(\vec x)=\langle\vec x, \vec y\rangle=\sum_{k=1}^n x_ky_k$.

Published on 16 Apr 2026 - 17:33

score 151 · Answer 9 · 2026-04-13 23:35:23

151

Views

Let V a real vector space of finite dimension, with a positive definite inner product and let A a symmetric operator in this space

Published on 13 Apr 2026 - 23:35

score 31 · Answer 10 · 2026-04-14 08:53:44

31

Views

Inner product on function whose domain is finite set

Published on 14 Apr 2026 - 8:53

score 331 · Answer 11 · 2026-04-16 20:10:05

331

Views

The linear operator $L:V\to V$ is defined by $L(p(x)) = -6p'(x) - 6p(x)$. How can I find the adjoint $L^{*}$ of $L$?

Published on 16 Apr 2026 - 20:10

score 323 · Answer 12 · 2026-04-16 22:27:00

323

Views

A norm equivalent to the $H_0 ^1$ norm

Published on 16 Apr 2026 - 22:27

score 211 · Answer 13 · 2026-04-12 09:59:03

211

Views

Prove that for a square matrix A: $Im\left(A^{\top}\right)=Ker(A)^{\perp}$

Published on 12 Apr 2026 - 9:59

score 79 · Answer 14 · 2026-04-12 11:17:23

79

Views

Minimizing $ \langle (Ax -b ), (Ax -b ) \rangle $

Published on 12 Apr 2026 - 11:17

score 89 · Answer 15 · 2026-04-16 15:13:49

89

Views

Is there an 'inner product wrt a matrix' version of gradient descent?

Published on 16 Apr 2026 - 15:13

List Question

please explain differences in the inner product of two functions in Hilbert and Lebesgue space

Derivative of expressions with field conjugates

$\underset{\omega}{\max}\; \omega^{\top}\cdot F(\omega') \leq \underset{\omega}{\max}\; \omega^{\top}\cdot F(\omega),\; \forall \omega'?$

For $ [T]_{\mathcal{B}}=\left(\begin{array}{lll} a & & \\ & b & \\ & & c \end{array}\right) $, Prove that $T$ is self-adjoint if and only if $a=b$.

Inequality of fourier transform for $L^2$ functions

Derivation of hodge dual of different bivectors

Orthogonal Matrix with respect to different inner products

Given $\vec y \in \mathbb{R}^n$, compute the operator norm $\lVert f\rVert_{op}$, where $f(\vec x)=\langle\vec x, \vec y\rangle=\sum_{k=1}^n x_ky_k$.

Let V a real vector space of finite dimension, with a positive definite inner product and let A a symmetric operator in this space

Inner product on function whose domain is finite set

The linear operator $L:V\to V$ is defined by $L(p(x)) = -6p'(x) - 6p(x)$. How can I find the adjoint $L^{*}$ of $L$?

A norm equivalent to the $H_0 ^1$ norm

Prove that for a square matrix A: $Im\left(A^{\top}\right)=Ker(A)^{\perp}$

Minimizing $ \langle (Ax -b ), (Ax -b ) \rangle $

Is there an 'inner product wrt a matrix' version of gradient descent?

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