Question

[Looking for Confirmation](X,G) is a duality, then (X,G1) is also one iff G1 is dense in G

score 79 · Answer 1 · 2026-05-10 12:58:18

79

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[Looking for Confirmation](X,G) is a duality, then (X,G1) is also one iff G1 is dense in G

Published on 10 May 2026 - 12:58

score 125 · Answer 2 · 2026-05-10 14:03:48

125

Views

Given linear functionals, in $\mathbb{R}^3$, find the annihilator

Published on 10 May 2026 - 14:03

score 59 · Answer 3 · 2026-05-04 13:50:00

59

Views

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

Published on 04 May 2026 - 13:50

score 243 · Answer 4 · 2026-04-14 22:50:05

For a proper subspace of linear functionals $W^* \subset V^*$ we can find $0 \ne v \in V \text{ with } w^*(v) = 0 \; \forall w^* \in W^*$

score 162 · Answer 5 · 2026-05-03 22:01:16

162

Views

Evaluation of convolutions by Fejér kernels have finite-dimentional range?

Published on 03 May 2026 - 22:01

score 575 · Answer 6 · 2026-04-13 18:57:16

575

Views

How to show the dual map of an isometric isomorphism is an isometric isomorphism?

Published on 13 Apr 2026 - 18:57

score 200 · Answer 7 · 2026-04-12 13:26:10

200

Views

Basis for the kernel of a dual mapping

Published on 12 Apr 2026 - 13:26

score 2k · Answer 8 · 2026-04-11 15:51:13

2k

Views

The dual transformation has the same eigenvalues

Published on 11 Apr 2026 - 15:51

score 59 · Answer 9 · 2026-05-10 14:49:21

59

Views

The dual space of $L^1_0(\mathbb{R}^n)$, the subspace of $L^1 (\mathbb{R}^n)$ functions with vanishing integral.

Published on 10 May 2026 - 14:49

score 119 · Answer 10 · 2026-04-15 10:43:25

119

Views

A line through fixed points, in $\mathbb{P^2}$ , is a fixed line or an invariant one?

Published on 15 Apr 2026 - 10:43

score 55 · Answer 11 · 2026-04-09 23:48:26

55

Views

How to reduce the calculation of $\Vert f \Vert$ to $\Vert u \Vert$

Published on 09 Apr 2026 - 23:48

score 202 · Answer 12 · 2026-04-28 17:49:52

202

Views

finitely generated projective module $\iff$ dual basis

Published on 28 Apr 2026 - 17:49

score 1k · Answer 13 · 2026-04-25 23:05:29

1k

Views

Riesz isomorphism and dual map

Published on 25 Apr 2026 - 23:05

score 568 · Answer 14 · 2026-04-14 13:23:32

568

Views

Dual function space of Sobolev space $W^{1,p}$.

Published on 14 Apr 2026 - 13:23

score 224 · Answer 15 · 2026-04-14 11:52:39

224

Views

Example of $N\subseteq E^*$ such that $(N^\perp)^\perp \neq \overline{N}$

Published on 14 Apr 2026 - 11:52

List Question

[Looking for Confirmation](X,G) is a duality, then (X,G1) is also one iff G1 is dense in G

Given linear functionals, in $\mathbb{R}^3$, find the annihilator

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

For a proper subspace of linear functionals $W^* \subset V^$ we can find $0 \ne v \in V \text{ with } w^(v) = 0 \; \forall w^* \in W^*$

Evaluation of convolutions by Fejér kernels have finite-dimentional range?

How to show the dual map of an isometric isomorphism is an isometric isomorphism?

Basis for the kernel of a dual mapping

The dual transformation has the same eigenvalues

The dual space of $L^1_0(\mathbb{R}^n)$, the subspace of $L^1 (\mathbb{R}^n)$ functions with vanishing integral.

A line through fixed points, in $\mathbb{P^2}$ , is a fixed line or an invariant one?

How to reduce the calculation of $\Vert f \Vert$ to $\Vert u \Vert$

finitely generated projective module $\iff$ dual basis

Riesz isomorphism and dual map

Dual function space of Sobolev space $W^{1,p}$.

Example of $N\subseteq E^*$ such that $(N^\perp)^\perp \neq \overline{N}$

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