List questions from vector-space-isomorphism

Published on 09 Dec 2013 - 18:33

213

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$V/(U \cap W)$ is finite dimensional iff $V/W$ and $V/U$ are finite dimensional

Published on 13 Dec 2013 - 23:22

556

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Why is class of one-dimensional vector spaces not axiomatizable?

Published on 23 Dec 2013 - 11:46

4.4k

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Is $\mathbb{C}^2$ isomorphic to $\mathbb{R}^4$?

Published on 27 Dec 2013 - 3:30

1k

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Prove that there is a natural isomorphism between $V$ and $(V^)^$

Published on 05 Jan 2014 - 21:10

591

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Show that $T\to T^*$ is an isomorphism (Where T is a linear transform)

Published on 11 Jan 2014 - 20:17

2.6k

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Second isomorphism theorem for subspaces

Published on 14 Jan 2014 - 7:10

1.1k

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Simple questions about isomorphisms between vector spaces

Published on 31 Jan 2014 - 17:34

92

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Find isomorphic vector spaces $V$ and $W$ with $V = S \bigoplus B$ and $W = S \bigoplus D$ but $B \ncong D$.

Published on 04 Feb 2014 - 15:42

376

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Equivalent definitions of isometry

Published on 21 Feb 2014 - 13:49

2.6k

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$\hom(V,W)$ is canonic isomorph to $\hom(W^, V^)$

Published on 02 Mar 2014 - 17:34

84

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Proof: $V$ and $W$ Vector Spaces, with finite $\dim (n)\ge1$ and $\gamma:V \to W$ an isomorphism

Published on 03 Mar 2014 - 8:07

78

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Linear Algebra 2 Quick questions regarding my understanding of isomorphism

Published on 08 Mar 2014 - 5:19

236

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Linear Algebra quick question over isomorphism

Published on 08 Mar 2014 - 6:11

792

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Isomorphism between functions set and the field of real number.

Published on 17 Apr 2017 - 20:33

List Question

Special basis for an automorphism of matrix group $M(n,\mathbb C)$

$V/(U \cap W)$ is finite dimensional iff $V/W$ and $V/U$ are finite dimensional

Why is class of one-dimensional vector spaces not axiomatizable?

Is $\mathbb{C}^2$ isomorphic to $\mathbb{R}^4$?

Prove that there is a natural isomorphism between $V$ and $(V^)^$

Show that $T\to T^*$ is an isomorphism (Where T is a linear transform)

Second isomorphism theorem for subspaces

Simple questions about isomorphisms between vector spaces

Find isomorphic vector spaces $V$ and $W$ with $V = S \bigoplus B$ and $W = S \bigoplus D$ but $B \ncong D$.

Equivalent definitions of isometry

$\hom(V,W)$ is canonic isomorph to $\hom(W^, V^)$

Proof: $V$ and $W$ Vector Spaces, with finite $\dim (n)\ge1$ and $\gamma:V \to W$ an isomorphism

Linear Algebra 2 Quick questions regarding my understanding of isomorphism

Linear Algebra quick question over isomorphism

Isomorphism between functions set and the field of real number.

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