List questions from vector-space-isomorphism

Published on 21 Mar 2026 - 22:26

45

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Canonical transformation $T_pV \cong V$?

Published on 22 Mar 2026 - 8:21

53

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Regular representation, two viewpoints, the isomorphism

Published on 22 Mar 2026 - 14:29

694

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Showing isomorphism in transformation between matrix and bilinear map spaces

Published on 22 Mar 2026 - 0:22

134

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Proof of ABCD Lemma

Published on 24 Mar 2026 - 23:16

359

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Isomorphisms between Dual Spaces

Published on 22 Mar 2026 - 12:14

36

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Prove the following are isomorphisms of tensor products of vector spaces.

Published on 04 Jun 2019 - 20:52

366

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The space of all linear maps from $U\to V$ is isomorphic to $\text{Mat}_{l\times k}(K).$

Published on 22 Mar 2026 - 12:29

86

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Need help: Isomorphism vector spaces

Published on 22 Mar 2026 - 0:14

52

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Isomorph vector space such that X complete and Y not

Published on 21 Mar 2026 - 5:07

748

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Isomorphisms between $V/U$, $U^0$ and $U^\perp$

Published on 22 Mar 2026 - 2:23

324

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Set of all linear operators is isomorphic to the set of all corresponding transpose of linear operators

Published on 22 Mar 2026 - 13:15

120

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Proving that $V$ and $V^*$ are not naturally isomorphic

Published on 22 Mar 2026 - 3:40

384

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Dual Vector Space Proof

Published on 22 Mar 2026 - 15:54

96

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Amann/Escher, Analysis I, Exercise I.12.12: Prove that $\triangle_{h}^{k} \in \operatorname{Hom}\left(\mathbb{K}_{m}[X], \mathbb{K}_{m-k}[X]\right)$

Published on 22 Mar 2026 - 10:42

List Question

Construct an isomorphism from $2\times 2$ matrix to $\mathbf F^3$

Canonical transformation $T_pV \cong V$?

Regular representation, two viewpoints, the isomorphism

Showing isomorphism in transformation between matrix and bilinear map spaces

Proof of ABCD Lemma

Isomorphisms between Dual Spaces

Prove the following are isomorphisms of tensor products of vector spaces.

The space of all linear maps from $U\to V$ is isomorphic to $\text{Mat}_{l\times k}(K).$

Need help: Isomorphism vector spaces

Isomorph vector space such that X complete and Y not

Isomorphisms between $V/U$, $U^0$ and $U^\perp$

Set of all linear operators is isomorphic to the set of all corresponding transpose of linear operators

Proving that $V$ and $V^*$ are not naturally isomorphic

Dual Vector Space Proof

Amann/Escher, Analysis I, Exercise I.12.12: Prove that $\triangle_{h}^{k} \in \operatorname{Hom}\left(\mathbb{K}_{m}[X], \mathbb{K}_{m-k}[X]\right)$

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