Question

Each basis of $V^*$ is dual of a basis of $V$

score 1.2k · Answer 1 · 2016-12-27 11:26:02

1.2k

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Each basis of $V^*$ is dual of a basis of $V$

Published on 27 Dec 2016 - 11:26

score 68 · Answer 2 · 2016-12-28 17:03:35

68

Views

Counterxample of representation theorem

Published on 28 Dec 2016 - 17:03

score 66 · Answer 3 · 2017-01-22 11:59:20

66

Views

Showing that a function is a Vectorspace-Isomorphism?

Published on 22 Jan 2017 - 11:59

score 72 · Answer 4 · 2017-02-05 10:56:37

72

Views

Splitting of Schwartz space of $\mathbb{R}^3$ upon Hilbert space isomorphism

Published on 05 Feb 2017 - 10:56

score 222 · Answer 5 · 2017-02-08 17:55:11

222

Views

Isomorphism of representations

Published on 08 Feb 2017 - 17:55

score 446 · Answer 6 · 2017-02-09 12:18:10

446

Views

Proving that $\mathbb{R}^2$ and $\mathbb{C}$ are isomorphice

Published on 09 Feb 2017 - 12:18

score 107 · Answer 7 · 2017-02-10 04:52:04

107

Views

Conflicting natural isomorphisms: How can separate identifications interfere with each other?

Published on 10 Feb 2017 - 4:52

score 216 · Answer 8 · 2017-02-13 19:57:57

216

Views

$\mathcal L(V_1 \times \cdots \times V_m,W) \approx \mathcal L(V_1,W) \times \cdots \times \mathcal L(V_m,W)$

Published on 13 Feb 2017 - 19:57

score 158 · Answer 9 · 2017-02-15 18:24:02

158

Views

Getting stuck in proving a linear map is injective

Published on 15 Feb 2017 - 18:24

score 202 · Answer 10 · 2017-02-20 14:27:38

202

Views

A few isomorphisms between spaces obtained from a complex vector space with antilinear involution; in particular, $[[W]]\cong[W\oplus\overline W]$

Published on 20 Feb 2017 - 14:27

score 69 · Answer 11 · 2017-02-26 19:04:52

69

Views

$\{(x_n)_n\in\mathbb R^{\mathbb N}|\text{ only finitely many components $x_i\neq 0$}\}$ isomorphic with...?

Published on 26 Feb 2017 - 19:04

score 53 · Answer 12 · 2017-02-28 06:29:50

53

Views

How is this vector space linear map from $\mathbb{R}[t]$ not an isomorphism?

Published on 28 Feb 2017 - 6:29

score 197 · Answer 13 · 2017-03-01 21:20:12

197

Views

Isomorphism between $K[x]$ and $K[x_1, x_2, \dots, x_n]$

Published on 01 Mar 2017 - 21:20

score 5.8k · Answer 14 · 2017-03-03 18:43:09

5.8k

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$V$ finite-dimensional vector space and isomorphic to $\mathbb{R}^n$?

Published on 03 Mar 2017 - 18:43

score 85 · Answer 15 · 2017-03-07 12:25:58

85

Views

How to show that a theorem holds for isomorphic vector spaces?

Published on 07 Mar 2017 - 12:25

List Question

Each basis of $V^*$ is dual of a basis of $V$

Counterxample of representation theorem

Showing that a function is a Vectorspace-Isomorphism?

Splitting of Schwartz space of $\mathbb{R}^3$ upon Hilbert space isomorphism

Isomorphism of representations

Proving that $\mathbb{R}^2$ and $\mathbb{C}$ are isomorphice

Conflicting natural isomorphisms: How can separate identifications interfere with each other?

$\mathcal L(V_1 \times \cdots \times V_m,W) \approx \mathcal L(V_1,W) \times \cdots \times \mathcal L(V_m,W)$

Getting stuck in proving a linear map is injective

A few isomorphisms between spaces obtained from a complex vector space with antilinear involution; in particular, $[[W]]\cong[W\oplus\overline W]$

$\{(x_n)_n\in\mathbb R^{\mathbb N}|\text{ only finitely many components $x_i\neq 0$}\}$ isomorphic with...?

How is this vector space linear map from $\mathbb{R}[t]$ not an isomorphism?

Isomorphism between $K[x]$ and $K[x_1, x_2, \dots, x_n]$

$V$ finite-dimensional vector space and isomorphic to $\mathbb{R}^n$?

How to show that a theorem holds for isomorphic vector spaces?

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