Question

Finding a dual basis for a space of polynomials with a given degree bound

score 286 · Answer 1 · 2019-06-06 12:40:08

286

Views

Finding a dual basis for a space of polynomials with a given degree bound

Published on 06 Jun 2019 - 12:40

score 161 · Answer 2 · 2019-06-08 07:40:43

161

Views

Relationship between annihilator of kernel and $\operatorname{im}(T')$ in infinite dimensional vector space

Published on 08 Jun 2019 - 7:40

score 1.2k · Answer 3 · 2026-03-26 01:11:54

1.2k

Views

If compact embedding $H^1_0(\Omega) \hookrightarrow H^{-1}(\Omega)$ is not surjective, how can $H^{-1}(\Omega)$ be the dual of $H^1_0(\Omega)$?

Published on 26 Mar 2026 - 1:11

score 75 · Answer 4 · 2026-03-25 14:20:11

75

Views

Alaoglu theorem over the $p$-adics

Published on 25 Mar 2026 - 14:20

score 313 · Answer 5 · 2026-03-25 15:41:11

313

Views

Dual norm of Weighted L1

Published on 25 Mar 2026 - 15:41

score 34 · Answer 6 · 2019-06-12 08:33:33

34

Views

Show that $V/U\cong (U^0)'$

Published on 12 Jun 2019 - 8:33

score 33 · Answer 7 · 2019-06-12 15:27:08

33

Views

Find an isomorphism $f:\mathbb {K}^4/W\rightarrow \mathbb {K}$

Published on 12 Jun 2019 - 15:27

score 654 · Answer 8 · 2019-06-13 11:34:59

654

Views

Characteristic and minimal polynomial in dual space

Published on 13 Jun 2019 - 11:34

score 1.2k · Answer 9 · 2019-06-18 18:09:02

1.2k

Views

Set of linear functionals span the dual space iff intersection of their kernels is $\{0\}$.

Published on 18 Jun 2019 - 18:09

score 68 · Answer 10 · 2019-06-18 20:11:08

68

Views

If $x_1\ne x_2$ then there exists $y$ in dual space such that $y(x_1)\ne y(x_2)$

Published on 18 Jun 2019 - 20:11

score 83 · Answer 11 · 2026-03-25 23:18:39

83

Views

Central Linear Functionals form a Closed Subspace

Published on 25 Mar 2026 - 23:18

score 1k · Answer 12 · 2019-06-20 13:03:02

1k

Views

How to compute a dual basis

Published on 20 Jun 2019 - 13:03

score 1.9k · Answer 13 · 2019-06-20 17:36:49

1.9k

Views

Dual of $C_0(X)$, space of all continuous functions vanishing at infinity

Published on 20 Jun 2019 - 17:36

score 433 · Answer 14 · 2019-06-21 07:59:52

433

Views

Do differential forms "eat" vectors in two different way?

Published on 21 Jun 2019 - 7:59

score 115 · Answer 15 · 2026-03-25 09:47:03

115

Views

Why is boundedness sufficient for well-definedness

Published on 25 Mar 2026 - 9:47

List Question

Finding a dual basis for a space of polynomials with a given degree bound

Relationship between annihilator of kernel and $\operatorname{im}(T')$ in infinite dimensional vector space

If compact embedding $H^1_0(\Omega) \hookrightarrow H^{-1}(\Omega)$ is not surjective, how can $H^{-1}(\Omega)$ be the dual of $H^1_0(\Omega)$?

Alaoglu theorem over the $p$-adics

Dual norm of Weighted L1

Show that $V/U\cong (U^0)'$

Find an isomorphism $f:\mathbb {K}^4/W\rightarrow \mathbb {K}$

Characteristic and minimal polynomial in dual space

Set of linear functionals span the dual space iff intersection of their kernels is $\{0\}$.

If $x_1\ne x_2$ then there exists $y$ in dual space such that $y(x_1)\ne y(x_2)$

Central Linear Functionals form a Closed Subspace

How to compute a dual basis

Dual of $C_0(X)$, space of all continuous functions vanishing at infinity

Do differential forms "eat" vectors in two different way?

Why is boundedness sufficient for well-definedness

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