Question

normal operator where the sum of eigenspaces is not equal to the entire Hilbert space.

score 42 · Answer 1 · 2023-07-03 14:29:52

42

Views

normal operator where the sum of eigenspaces is not equal to the entire Hilbert space.

Published on 03 Jul 2023 - 14:29

score 46 · Answer 2 · 2023-07-05 04:34:56

46

Views

For a von Neumann algebra, if the elements are all normal, then it is commutative.

Published on 05 Jul 2023 - 4:34

score 79 · Answer 3 · 2023-08-24 20:45:50

79

Views

Does unitary operator on a Hilbert space maps a star cyclic vector to a star cyclic vector?

Published on 24 Aug 2023 - 20:45

score 57 · Answer 4 · 2023-08-29 03:15:21

57

Views

A question about the criterion of diagonalizable normal operator on a Hilbert space (perhaps non-separable).

Published on 29 Aug 2023 - 3:15

score 81 · Answer 5 · 2023-09-28 11:23:02

81

Views

Question about proof that normal operators have invariant subspace

Published on 28 Sep 2023 - 11:23

score 136 · Answer 6 · 2023-10-19 02:29:43

136

Views

Range of Normal operator N is closed and its spectrum

Published on 19 Oct 2023 - 2:29

score 84 · Answer 7 · 2023-12-29 17:27:58

84

Views

Decomposition of normal operators into selfadjoint ones: $T=A+iB$

Published on 29 Dec 2023 - 17:27

score 151 · Answer 8 · 2024-02-19 07:20:41

151

Views

An operator that satisfies some condition is a normal operator

Published on 19 Feb 2024 - 7:20

score 18 · Answer 9 · 2024-02-22 18:39:15

18

Views

Spectral measure of a complement

Published on 22 Feb 2024 - 18:39

score 40 · Answer 10 · 2024-02-24 17:37:47

40

Views

Spectral measure and eigenvalues/eigenvectors

Published on 24 Feb 2024 - 17:37

score 21 · Answer 11 · 2024-03-10 15:27:12

21

Views

Prove that N is a normal operator.

Published on 10 Mar 2024 - 15:27

score 1.3k · Answer 12 · 2015-03-18 23:29:11

1.3k

Views

Show that in a complex Hilbert space, T normal bounded linear operator, $\| T^2 \| =\| T \| ^2$

Published on 18 Mar 2015 - 23:29

score 698 · Answer 13 · 2017-05-26 13:56:20

If T is a normal operator, prove that characteristic vectors for T which are associated with distinct characteristic values are orthogonal.

score 86 · Answer 14 · 2017-05-26 20:01:06

86

Views

normal operator interchangeable then its adjoint also interchangeable

Published on 26 May 2017 - 20:01

score 677 · Answer 15 · 2017-05-31 15:16:47

677

Views

If $\phi$ and its adjoint share a eigenvector with conjugate eigenvalue then normal

Published on 31 May 2017 - 15:16

List Question

normal operator where the sum of eigenspaces is not equal to the entire Hilbert space.

For a von Neumann algebra, if the elements are all normal, then it is commutative.

Does unitary operator on a Hilbert space maps a star cyclic vector to a star cyclic vector?

A question about the criterion of diagonalizable normal operator on a Hilbert space (perhaps non-separable).

Question about proof that normal operators have invariant subspace

Range of Normal operator N is closed and its spectrum

Decomposition of normal operators into selfadjoint ones: $T=A+iB$

An operator that satisfies some condition is a normal operator

Spectral measure of a complement

Spectral measure and eigenvalues/eigenvectors

Prove that N is a normal operator.

Show that in a complex Hilbert space, T normal bounded linear operator, $\| T^2 \| =\| T \| ^2$

If T is a normal operator, prove that characteristic vectors for T which are associated with distinct characteristic values are orthogonal.

normal operator interchangeable then its adjoint also interchangeable

If $\phi$ and its adjoint share a eigenvector with conjugate eigenvalue then normal

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