List questions from normal-operator

Published on 26 Mar 2026 - 1:27

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Every normal operator is a continuous function of a Hermitian operator

Published on 26 Mar 2026 - 1:02

108

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

Published on 26 Mar 2026 - 1:07

172

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Doubt in Hoffman and Kunze Linear Algebra Section 8.5

Published on 26 Mar 2026 - 1:01

131

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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 25 Mar 2026 - 23:38

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Spectral theory for compact normal operators.

Published on 25 Mar 2026 - 23:35

88

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Norm convergence of a series of operators.

Published on 10 May 2026 - 20:17

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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 26 Mar 2026 - 1:23

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

Published on 26 Mar 2026 - 1:03

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

Published on 25 Mar 2026 - 23:37

80

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Exercise with normal operators.

Published on 26 Mar 2026 - 1:26

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

Published on 25 Mar 2026 - 23:39

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

Published on 26 Mar 2026 - 1:25

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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 25 Mar 2026 - 23:39

19

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

Published on 26 Mar 2026 - 1:00

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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