Question

Let $V,W$ vectorial spaces. Prove $(V \times W)^$ is isomorphic to $V^ \times W^*$

score 56 · Answer 1 · 2017-11-11 02:03:05

56

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Let $V,W$ vectorial spaces. Prove $(V \times W)^$ is isomorphic to $V^ \times W^*$

Published on 11 Nov 2017 - 2:03

score 352 · Answer 2 · 2017-11-11 14:35:23

352

Views

Doubt with an isomorphism of $Hom(K,V)$

Published on 11 Nov 2017 - 14:35

score 107 · Answer 3 · 2017-11-11 15:49:07

107

Views

Vector space of translations of a L^1 function is not dense in L^1

Published on 11 Nov 2017 - 15:49

score 2.9k · Answer 4 · 2026-03-27 07:13:24

2.9k

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Show that $(c_{0})'$ and $(c)'$ are isometrically isomorphic.

Published on 27 Mar 2026 - 7:13

score 25 · Answer 5 · 2017-11-12 01:04:47

25

Views

Let $V$ a $\mathbb{K}-$space of finite dimension. Prove for all pair of different vectors $u,v$ ....

Published on 12 Nov 2017 - 1:04

score 516 · Answer 6 · 2026-03-27 01:45:55

516

Views

Krein-Milman and dual spaces

Published on 27 Mar 2026 - 1:45

score 706 · Answer 7 · 2017-11-13 17:12:00

706

Views

Exercise 3, Section 3.6, Hoffman and Kunze's Linear Algebra, 2nd edition

Published on 13 Nov 2017 - 17:12

score 39 · Answer 8 · 2017-11-16 19:03:20

39

Views

A subspace of the space of matrix-measures that is the product of $\mathbb R^n$ with $L^1$

Published on 16 Nov 2017 - 19:03

score 93 · Answer 9 · 2017-11-16 21:34:38

93

Views

Is the Mackey topology $\tau(l^{\infty},l^{1})$ strongly Lindelöf?

Published on 16 Nov 2017 - 21:34

score 185 · Answer 10 · 2017-11-17 11:24:10

185

Views

Example of normed linear space with bounded sequence in dual having no weak* convergent subsequence

Published on 17 Nov 2017 - 11:24

score 62 · Answer 11 · 2017-11-18 21:29:10

62

Views

Method to find dual basis: solve equations vs kronecker delta

Published on 18 Nov 2017 - 21:29

score 410 · Answer 12 · 2026-03-26 14:18:51

410

Views

Riesz representation theorem in $C^k([0,1])$

Published on 26 Mar 2026 - 14:18

score 209 · Answer 13 · 2017-11-21 14:17:34

209

Views

Boundedness of a sequence in the dual of $l^q$

Published on 21 Nov 2017 - 14:17

score 91 · Answer 14 · 2017-11-23 22:42:15

91

Views

Decomposition of a linear functional.

Published on 23 Nov 2017 - 22:42

score 196 · Answer 15 · 2017-11-24 14:02:55

196

Views

Extension map of $\ell^p$ in the term of $\ell^q$

Published on 24 Nov 2017 - 14:02

List Question

Let $V,W$ vectorial spaces. Prove $(V \times W)^$ is isomorphic to $V^ \times W^*$

Doubt with an isomorphism of $Hom(K,V)$

Vector space of translations of a L^1 function is not dense in L^1

Show that $(c_{0})'$ and $(c)'$ are isometrically isomorphic.

Let $V$ a $\mathbb{K}-$space of finite dimension. Prove for all pair of different vectors $u,v$ ....

Krein-Milman and dual spaces

Exercise 3, Section 3.6, Hoffman and Kunze's Linear Algebra, 2nd edition

A subspace of the space of matrix-measures that is the product of $\mathbb R^n$ with $L^1$

Is the Mackey topology $\tau(l^{\infty},l^{1})$ strongly Lindelöf?

Example of normed linear space with bounded sequence in dual having no weak* convergent subsequence

Method to find dual basis: solve equations vs kronecker delta

Riesz representation theorem in $C^k([0,1])$

Boundedness of a sequence in the dual of $l^q$

Decomposition of a linear functional.

Extension map of $\ell^p$ in the term of $\ell^q$

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