List questions from normal-operator

Published on 21 Nov 2019 - 2:56

248

Views

If $A$ commutes with $A^*A$, does it follow that $A$ is normal?

Published on 26 Jan 2020 - 0:18

106

Views

Can changing the defined inner product change wheather a transformation is Normal or Self Adjoint?

Published on 26 Jan 2020 - 19:00

799

Views

Show that norm of normal operator equals spectral radius via $\| T T^* \| = \| T \|^2 = \| T \|^2$

Published on 01 Mar 2020 - 22:05

80

Views

Compute $\|T^{-1}\|$ and $\|T^{*}+T^{-1}\|$

Published on 05 Apr 2020 - 4:11

38

Views

The existence of an orthonormal sequence.

Published on 06 Apr 2020 - 2:39

34

Views

Do partial isometries commute with their adjoints when applied to certain subspaces

Published on 08 May 2020 - 0:35

67

Views

Operators on an Euclidean space

Published on 16 May 2020 - 15:44

51

Views

A problem about operators on an Euclidean space

Published on 17 May 2020 - 16:59

68

Views

Does $\|A\|$ or $-\|A\|$ belongs to $\sigma(A)$ for a normal operator

Published on 30 May 2020 - 22:20

478

Views

Normal operator intuition

Published on 06 Jun 2020 - 15:16

333

Views

Another definition of normal operator

Published on 07 Jun 2020 - 16:59

80

Views

Find $T$ s.t $T$ is normal

Published on 11 Jun 2020 - 14:28

231

Views

$T^2$ normal operator means that $T$ is normal operator?

Published on 19 Jun 2020 - 11:59

243

Views

normal operator over Field R

Published on 21 Jun 2020 - 17:07

List Question

Upper and Lower bounds on Normal Operator Norm

If $A$ commutes with $A^*A$, does it follow that $A$ is normal?

Can changing the defined inner product change wheather a transformation is Normal or Self Adjoint?

Show that norm of normal operator equals spectral radius via $\| T T^* \| = \| T \|^2 = \| T \|^2$

Compute $\|T^{-1}\|$ and $\|T^{*}+T^{-1}\|$

The existence of an orthonormal sequence.

Do partial isometries commute with their adjoints when applied to certain subspaces

Operators on an Euclidean space

A problem about operators on an Euclidean space

Does $\|A\|$ or $-\|A\|$ belongs to $\sigma(A)$ for a normal operator

Normal operator intuition

Another definition of normal operator

Find $T$ s.t $T$ is normal

$T^2$ normal operator means that $T$ is normal operator?

normal operator over Field R

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