Question

Existence of unique maximal proper T-invariant subspace implies indecomposability

score 372 · Answer 1 · 2017-11-28 03:31:43

372

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Existence of unique maximal proper T-invariant subspace implies indecomposability

Published on 28 Nov 2017 - 3:31

score 184 · Answer 2 · 2017-12-21 23:06:50

184

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On the intuitive idea behind decomposition into cyclic modules

Published on 21 Dec 2017 - 23:06

score 189 · Answer 3 · 2020-08-25 02:51:49

189

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Proving $\sum_{\text{cyc}}\, (23a-5b-c)(a-b)^2(a+b-3c)^2 \geqslant 0$

Published on 25 Aug 2020 - 2:51

score 185 · Answer 4 · 2020-09-03 12:37:13

185

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Proving $\frac{a}{b^3}+\frac{b}{c^3}+\frac{c}{a^3}\geqslant \frac{a+b}{b^3+c^3}+\frac{b+c}{c^3+a^3}+\frac{c+a}{a^3+b^3}$

Published on 03 Sep 2020 - 12:37

score 253 · Answer 5 · 2020-11-18 04:28:38

253

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How does $(abc) = (ac)(ab)$?

Published on 18 Nov 2020 - 4:28

score 753 · Answer 6 · 2021-01-21 18:56:06

753

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Proof for every permutation will have a cyclic notation to it or not?

Published on 21 Jan 2021 - 18:56

score 105 · Answer 7 · 2021-02-20 07:29:07

105

Views

Prove that: $2a^2+3bc+4\ge b^2+c^2+5a$

Published on 20 Feb 2021 - 7:29

score 131 · Answer 8 · 2021-04-16 17:02:07

131

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Find a product of cyclic groups isomorphic to Z/20

Published on 16 Apr 2021 - 17:02

score 131 · Answer 9 · 2021-07-24 20:15:22

131

Views

$\sigma(x,y,z)=xy+yz+zx$ and its connection to sums of squares

Published on 24 Jul 2021 - 20:15

score 139 · Answer 10 · 2021-09-21 00:02:11

139

Views

Some characterizations about T-indecomposable vector spaces

Published on 21 Sep 2021 - 0:02

score 144 · Answer 11 · 2021-10-07 16:24:43

144

Views

Prove that a normal operator has cyclic decomposition whose components are orthogonal

Published on 07 Oct 2021 - 16:24

score 152 · Answer 12 · 2021-10-16 18:04:38

152

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When is an integer power of a $12$-cycle a $12$-cycle?

Published on 16 Oct 2021 - 18:04

score 47 · Answer 13 · 2021-11-10 13:02:53

47

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Minimal polynomial divisor is a minimal polynomial for some vector

Published on 10 Nov 2021 - 13:02

score 126 · Answer 14 · 2022-02-03 14:43:17

126

Views

Proof of the existence of a decomposition of $V=\ker(p^d(T))$ into $T-$cyclic subspaces using the nilpotent decomposition of $p(T)$

Published on 03 Feb 2022 - 14:43

score 27 · Answer 15 · 2022-03-05 17:01:54

27

Views

Understanding why any permutation $\sigma \in S_n$ has a cyclid decomposition

Published on 05 Mar 2022 - 17:01

List Question

Existence of unique maximal proper T-invariant subspace implies indecomposability

On the intuitive idea behind decomposition into cyclic modules

Proving $\sum_{\text{cyc}}\, (23a-5b-c)(a-b)^2(a+b-3c)^2 \geqslant 0$

Proving $\frac{a}{b^3}+\frac{b}{c^3}+\frac{c}{a^3}\geqslant \frac{a+b}{b^3+c^3}+\frac{b+c}{c^3+a^3}+\frac{c+a}{a^3+b^3}$

How does $(abc) = (ac)(ab)$?

Proof for every permutation will have a cyclic notation to it or not?

Prove that: $2a^2+3bc+4\ge b^2+c^2+5a$

Find a product of cyclic groups isomorphic to Z/20

$\sigma(x,y,z)=xy+yz+zx$ and its connection to sums of squares

Some characterizations about T-indecomposable vector spaces

Prove that a normal operator has cyclic decomposition whose components are orthogonal

When is an integer power of a $12$-cycle a $12$-cycle?

Minimal polynomial divisor is a minimal polynomial for some vector

Proof of the existence of a decomposition of $V=\ker(p^d(T))$ into $T-$cyclic subspaces using the nilpotent decomposition of $p(T)$

Understanding why any permutation $\sigma \in S_n$ has a cyclid decomposition

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