Question

About exercise 3.F 23 on p.115 in "Linear Algebra Done Right 3rd Edition" by Sheldon Axler.

score 149 · Answer 1 · 2020-04-10 02:17:01

149

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About exercise 3.F 23 on p.115 in "Linear Algebra Done Right 3rd Edition" by Sheldon Axler.

Published on 10 Apr 2020 - 2:17

score 33 · Answer 2 · 2020-04-13 14:36:43

33

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For all $x \in V$ (vector space) there exists $f \in V^*$ s.t. $f(x) \neq 0$

Published on 13 Apr 2020 - 14:36

score 70 · Answer 3 · 2020-04-13 21:22:12

70

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Describe the topological dual of a norm space

Published on 13 Apr 2020 - 21:22

score 207 · Answer 4 · 2020-04-14 01:49:22

207

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About the theorem of dual basis

Published on 14 Apr 2020 - 1:49

score 1k · Answer 5 · 2020-04-14 19:48:07

1k

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Prove that $W$ is $T$-invariant if and only if $W^0$ is $T^t$-invariant.

Published on 14 Apr 2020 - 19:48

score 27 · Answer 6 · 2026-03-25 23:37:00

27

Views

Show that : $ \|A\|=\sup_{x^\in B^}{s(x^*|A)} $

Published on 25 Mar 2026 - 23:37

score 71 · Answer 7 · 2020-04-17 01:04:07

71

Views

$\mathbb{Q}[x]$ is not isomorphic to $(\mathbb{Q}[x])^{*}$

Published on 17 Apr 2020 - 1:04

score 103 · Answer 8 · 2020-04-19 05:23:57

103

Views

Question involving linear functionals and linearly dependent vectors.

Published on 19 Apr 2020 - 5:23

score 168 · Answer 9 · 2020-04-19 11:54:39

168

Views

the weak-weak continuous mapping is the conjugate operator of a bounded mapping?

Published on 19 Apr 2020 - 11:54

score 142 · Answer 10 · 2020-04-19 20:47:45

142

Views

If a set of vectors is not generating, its dual/ biorthogonal system is not unique.

Published on 19 Apr 2020 - 20:47

score 393 · Answer 11 · 2020-04-20 08:20:43

393

Views

The second dual space

Published on 20 Apr 2020 - 8:20

score 87 · Answer 12 · 2020-04-21 13:38:36

87

Views

Double dual space and annihilators

Published on 21 Apr 2020 - 13:38

score 321 · Answer 13 · 2020-04-21 17:01:16

321

Views

How exactly is dual space applied?

Published on 21 Apr 2020 - 17:01

score 51 · Answer 14 · 2026-03-25 17:52:08

51

Views

Is the dual space of a vector space V isomorphic to the space of all linear projections of V onto a 1 dimensional subspace?

Published on 25 Mar 2026 - 17:52

score 180 · Answer 15 · 2020-04-22 11:06:16

180

Views

Finding Weak* limit of a sequence in the space of sequences

Published on 22 Apr 2020 - 11:06

List Question

About exercise 3.F 23 on p.115 in "Linear Algebra Done Right 3rd Edition" by Sheldon Axler.

For all $x \in V$ (vector space) there exists $f \in V^*$ s.t. $f(x) \neq 0$

Describe the topological dual of a norm space

About the theorem of dual basis

Prove that $W$ is $T$-invariant if and only if $W^0$ is $T^t$-invariant.

Show that : $ \|A\|=\sup_{x^\in B^}{s(x^*|A)} $

$\mathbb{Q}[x]$ is not isomorphic to $(\mathbb{Q}[x])^{*}$

Question involving linear functionals and linearly dependent vectors.

the weak-weak continuous mapping is the conjugate operator of a bounded mapping?

If a set of vectors is not generating, its dual/ biorthogonal system is not unique.

The second dual space

Double dual space and annihilators

How exactly is dual space applied?

Is the dual space of a vector space V isomorphic to the space of all linear projections of V onto a 1 dimensional subspace?

Finding Weak* limit of a sequence in the space of sequences

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