List questions from direct-sum

Published on 31 May 2022 - 19:25

98

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Interpreting notation: showing localization commutes with finite product.

Published on 08 Jun 2022 - 21:59

138

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How do you call it when you stack vectors on top of each other?

Published on 20 Jun 2022 - 19:38

81

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Proving that the intersection of affine spaces contains only a single vector

Published on 26 Jun 2022 - 5:24

27

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A sum problem in Hilbert space

Published on 30 Jun 2022 - 10:58

73

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If $T^3=T$ show that $V=V_0\oplus V_1\oplus V_2$ , where the $V_i$ are subspaces of $V$ with some special properties.

Published on 04 Jul 2022 - 8:32

63

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If $V=V_1\oplus V_2 = V_3 \oplus V_4$, then are $V_1$ and $V_3$ isomorphic? Same question with $V_2$ and $ V_4$

Published on 27 Mar 2026 - 21:19

24

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Suppose $X = E \bigoplus F$. $P(u\oplus v) = u$ for $u \in E$ and $v \in F$. If $E$ and $F$ are closed in $X$, then $P$ is bounded.

Published on 09 Jul 2022 - 4:36

29

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Kernels (nullspaces) and orthogonal complements

Published on 09 Jul 2022 - 15:24

35

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Direct sum of V1 = {A ∈ V : At = A} and V2 = {A ∈ V : At = −A} equals V = Mn(R)

Published on 14 Jul 2022 - 15:44

43

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Prove that V is a norm direct sum.

Published on 18 Jul 2022 - 22:19

289

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Universal properties in ring theory

Published on 29 Mar 2026 - 14:55

49

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Let $V_1, V_2, V_3$ and $V_4$ subspaces of $V$ ... Prove that $\beta$ is a basis of $V$

Published on 29 Jul 2022 - 0:08

107

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Is $N \trianglelefteq G$?

Published on 29 Mar 2026 - 4:11

80

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Boy and girl average scores

Published on 15 Aug 2022 - 20:54

List Question

Eigenvalues are still eigenvalues on restricted subspace?

Interpreting notation: showing localization commutes with finite product.

How do you call it when you stack vectors on top of each other?

Proving that the intersection of affine spaces contains only a single vector

A sum problem in Hilbert space

If $T^3=T$ show that $V=V_0\oplus V_1\oplus V_2$ , where the $V_i$ are subspaces of $V$ with some special properties.

If $V=V_1\oplus V_2 = V_3 \oplus V_4$, then are $V_1$ and $V_3$ isomorphic? Same question with $V_2$ and $ V_4$

Suppose $X = E \bigoplus F$. $P(u\oplus v) = u$ for $u \in E$ and $v \in F$. If $E$ and $F$ are closed in $X$, then $P$ is bounded.

Kernels (nullspaces) and orthogonal complements

Direct sum of V1 = {A ∈ V : At = A} and V2 = {A ∈ V : At = −A} equals V = Mn(R)

Prove that V is a norm direct sum.

Universal properties in ring theory

Let $V_1, V_2, V_3$ and $V_4$ subspaces of $V$ ... Prove that $\beta$ is a basis of $V$

Is $N \trianglelefteq G$?

Boy and girl average scores

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