List questions from normal-operator

Published on 28 Nov 2017 - 12:57

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Every normal operator is a continuous function of a Hermitian operator

Published on 01 Aug 2020 - 18:47

107

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Is my proof correct? It can't be this simple

Published on 11 Oct 2020 - 17:55

171

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Doubt in Hoffman and Kunze Linear Algebra Section 8.5

Published on 05 Dec 2020 - 7:26

130

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Similarity Transformation when the Linear Operator is not written in the standard basis doesn’t lead to a Diagonal Matrix. Why?

Published on 11 Mar 2021 - 19:29

272

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Spectral theory for compact normal operators.

Published on 27 Mar 2021 - 20:38

85

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Norm convergence of a series of operators.

Published on 28 Mar 2021 - 21:05

132

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Let $L$ be a linear operator on vector space $R^3$ defined with $L(x,y,z)=(-x+2y+(3-c)z,(c+1)x-y+2z,2x+2y-z),$ with $c$ from $R$.

Published on 13 Apr 2021 - 12:34

25

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Let $S$ be symmetric operator on unitary $n$-dimensional space

Published on 20 Apr 2021 - 16:32

149

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How to understand "A possesses a complete orthonormal set of eigenvectors"?

Published on 25 Apr 2021 - 14:26

79

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Exercise with normal operators.

Published on 28 Apr 2021 - 6:24

318

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Why if T is normal linear map, then image of T if the same as image of T*?

Published on 09 May 2021 - 13:48

1.4k

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Invariant subspace of $T$ (normal) is also an invariant subspace of $T^\ast$.

Published on 03 Jul 2021 - 14:39

120

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$T: V \rightarrow V$ is a linear operator, and $TT^*=T^3$, $\text{Ker}(T) = U, W=U^⊥$, Prove that $T_{|_W}$ is normal

Published on 24 Jul 2021 - 10:47

18

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If C intertwines two positive operators, does C intertwines their square root?

Published on 05 Aug 2021 - 19:34

List Question

Inequality involving two normal operators

Every normal operator is a continuous function of a Hermitian operator

Is my proof correct? It can't be this simple

Doubt in Hoffman and Kunze Linear Algebra Section 8.5

Similarity Transformation when the Linear Operator is not written in the standard basis doesn’t lead to a Diagonal Matrix. Why?

Spectral theory for compact normal operators.

Norm convergence of a series of operators.

Let $L$ be a linear operator on vector space $R^3$ defined with $L(x,y,z)=(-x+2y+(3-c)z,(c+1)x-y+2z,2x+2y-z),$ with $c$ from $R$.

Let $S$ be symmetric operator on unitary $n$-dimensional space

How to understand "A possesses a complete orthonormal set of eigenvectors"?

Exercise with normal operators.

Why if T is normal linear map, then image of T if the same as image of T*?

Invariant subspace of $T$ (normal) is also an invariant subspace of $T^\ast$.

$T: V \rightarrow V$ is a linear operator, and $TT^*=T^3$, $\text{Ker}(T) = U, W=U^⊥$, Prove that $T_{|_W}$ is normal

If C intertwines two positive operators, does C intertwines their square root?

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