Question

Metrizing pointwise convergence of sequences of functionals in a dual space.

score 90 · Answer 1 · 2023-12-01 23:52:59

90

Views

Metrizing pointwise convergence of sequences of functionals in a dual space.

Published on 01 Dec 2023 - 23:52

score 25 · Answer 2 · 2023-12-02 23:03:27

25

Views

Why and how can I represent weak werivatives as functionals in sobolev spaces

Published on 02 Dec 2023 - 23:03

score 112 · Answer 3 · 2023-12-05 00:12:53

112

Views

Expressing $E$ as a linear combination of the dual basis.

Published on 05 Dec 2023 - 0:12

score 70 · Answer 4 · 2023-12-05 17:39:59

70

Views

Duality of SISO control system

Published on 05 Dec 2023 - 17:39

score 35 · Answer 5 · 2023-12-06 12:19:20

35

Views

How to show that a linear additive code is contained in its dual (where all dual codewords are orthogonal to themselves and others)

Published on 06 Dec 2023 - 12:19

score 39 · Answer 6 · 2026-03-27 06:13:29

39

Views

Bilinear Form inducing Canonical Isomorphisms

Published on 27 Mar 2026 - 6:13

score 50 · Answer 7 · 2023-12-11 20:30:20

50

Views

Prove an orthogonal dual basis without using coordinates

Published on 11 Dec 2023 - 20:30

score 74 · Answer 8 · 2023-12-15 01:01:42

74

Views

Norm equal to infimum with constraint on dual norm

Published on 15 Dec 2023 - 1:01

score 148 · Answer 9 · 2026-03-26 12:54:06

148

Views

Let $X$ be a normed space. Show that if $X^*$ is separable, then $X$ is separable and show that the reverse does not hold.

Published on 26 Mar 2026 - 12:54

score 226 · Answer 10 · 2026-03-26 12:52:46

226

Views

Definition of weak convergence

Published on 26 Mar 2026 - 12:52

score 19 · Answer 11 · 2023-12-21 19:03:19

19

Views

Is the dual of a vector in C^n its complex transpose? Because this doesn't seem to be the case under change of basis set.

Published on 21 Dec 2023 - 19:03

score 38 · Answer 12 · 2023-12-21 21:16:43

38

Views

Show that $L^{\infty}(\Omega)^* \neq L^1(\Omega)$ for any nonempty open set $\Omega \subset$ $\mathbb{R}^d$.

Published on 21 Dec 2023 - 21:16

score 552 · Answer 13 · 2026-03-26 18:30:02

552

Views

How can tempered distributions be identified with functions?

Published on 26 Mar 2026 - 18:30

score 47 · Answer 14 · 2023-12-29 18:36:15

47

Views

what is the dual space of this vector space $W=\{(x_1,\dots,x_n)|x_1+\dots+x_n = 0\}$

Published on 29 Dec 2023 - 18:36

score 80 · Answer 15 · 2024-01-04 13:27:50

80

Views

Let $\{e^1,...,e^m\}$ standard basis of $(\Bbb R^m)^*$ , $(U,\varphi)$ a chart. Why is $d(x^i\circ \varphi^{-1})_{\varphi(p)}=d(e^i)_{\phi(p)}=e^i$?

Published on 04 Jan 2024 - 13:27

List Question

Metrizing pointwise convergence of sequences of functionals in a dual space.

Why and how can I represent weak werivatives as functionals in sobolev spaces

Expressing $E$ as a linear combination of the dual basis.

Duality of SISO control system

How to show that a linear additive code is contained in its dual (where all dual codewords are orthogonal to themselves and others)

Bilinear Form inducing Canonical Isomorphisms

Prove an orthogonal dual basis without using coordinates

Norm equal to infimum with constraint on dual norm

Let $X$ be a normed space. Show that if $X^*$ is separable, then $X$ is separable and show that the reverse does not hold.

Definition of weak convergence

Is the dual of a vector in C^n its complex transpose? Because this doesn't seem to be the case under change of basis set.

Show that $L^{\infty}(\Omega)^* \neq L^1(\Omega)$ for any nonempty open set $\Omega \subset$ $\mathbb{R}^d$.

How can tempered distributions be identified with functions?

what is the dual space of this vector space $W=\{(x_1,\dots,x_n)|x_1+\dots+x_n = 0\}$

Let $\{e^1,...,e^m\}$ standard basis of $(\Bbb R^m)^*$ , $(U,\varphi)$ a chart. Why is $d(x^i\circ \varphi^{-1})_{\varphi(p)}=d(e^i)_{\phi(p)}=e^i$?

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