Question

Methods in finding invariant subspaces?

score 327 · Answer 1 · 2026-04-29 12:16:42

327

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Methods in finding invariant subspaces?

Published on 29 Apr 2026 - 12:16

score 665 · Answer 2 · 2026-05-10 11:02:11

665

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$U$ is invariant under all $T\in\mathcal{L}(V)$

Published on 10 May 2026 - 11:02

score 461 · Answer 3 · 2026-05-05 15:34:20

461

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Question about Invariant Subspaces.

Published on 05 May 2026 - 15:34

score 430 · Answer 4 · 2026-05-05 13:35:06

430

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$T\in\mathcal{L}(V)$ is a scalar multiple of identity operator, where $dim\ V\geq 3$

Published on 05 May 2026 - 13:35

score 104 · Answer 5 · 2026-05-05 06:19:26

104

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Some insight regarding a difficult problem on Linear Operators.

Published on 05 May 2026 - 6:19

score 102 · Answer 6 · 2026-05-06 12:02:57

102

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Find invariant subspace of a shear - Maschke theorem

Published on 06 May 2026 - 12:02

score 153 · Answer 7 · 2026-05-05 14:36:51

153

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Are there other non-trivial invariant subspaces of a linear operator other than the eigenspaces and their combinations?

Published on 05 May 2026 - 14:36

score 312 · Answer 8 · 2026-05-05 16:01:13

312

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What are the $T$-invariant subspaces for the following shift operator $T$.

Published on 05 May 2026 - 16:01

score 329 · Answer 9 · 2026-05-06 12:59:38

329

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Intuition/motivation behind t-cyclic subspaces

Published on 06 May 2026 - 12:59

score 197 · Answer 10 · 2026-05-06 12:24:27

197

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Characterization of a positive finite Borel measure on the circle

Published on 06 May 2026 - 12:24

score 62 · Answer 11 · 2026-05-06 14:20:33

62

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Are $V=<(1,0,1),(1,1,1)>$ and $W=<(1,0,1),(0,1,0)>$ equivalent?

Published on 06 May 2026 - 14:20

score 898 · Answer 12 · 2026-04-22 23:46:29

898

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Determine whether any subspace/quotient of a contractible space is contractible, and the product of two contractible spaces is contractible.

Published on 22 Apr 2026 - 23:46

score 285 · Answer 13 · 2026-04-22 15:07:38

285

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Why invariant subspaces are important?

Published on 22 Apr 2026 - 15:07

score 47 · Answer 14 · 2026-04-22 15:18:33

47

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there exists vector space $V$ and linear operator $T$ such that $V$ has exactly three invariant subspaces under T?

Published on 22 Apr 2026 - 15:18

score 126 · Answer 15 · 2026-04-23 01:28:20

126

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Notation in this proof: If $X$ a finite dimensional NVS over $\mathbb C$ then $T$ has a nontrivial inveriant subspace.

Published on 23 Apr 2026 - 1:28

List Question

Methods in finding invariant subspaces?

$U$ is invariant under all $T\in\mathcal{L}(V)$

Question about Invariant Subspaces.

$T\in\mathcal{L}(V)$ is a scalar multiple of identity operator, where $dim\ V\geq 3$

Some insight regarding a difficult problem on Linear Operators.

Find invariant subspace of a shear - Maschke theorem

Are there other non-trivial invariant subspaces of a linear operator other than the eigenspaces and their combinations?

What are the $T$-invariant subspaces for the following shift operator $T$.

Intuition/motivation behind t-cyclic subspaces

Characterization of a positive finite Borel measure on the circle

Are $V=<(1,0,1),(1,1,1)>$ and $W=<(1,0,1),(0,1,0)>$ equivalent?

Determine whether any subspace/quotient of a contractible space is contractible, and the product of two contractible spaces is contractible.

Why invariant subspaces are important?

there exists vector space $V$ and linear operator $T$ such that $V$ has exactly three invariant subspaces under T?

Notation in this proof: If $X$ a finite dimensional NVS over $\mathbb C$ then $T$ has a nontrivial inveriant subspace.

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