Question

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

score 43 · Answer 1 · 2026-03-25 22:03:40

43

Views

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

Published on 25 Mar 2026 - 22:03

score 47 · Answer 2 · 2026-03-25 22:04:00

47

Views

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

Published on 25 Mar 2026 - 22:04

score 80 · Answer 3 · 2026-03-25 22:02:41

80

Views

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

Published on 25 Mar 2026 - 22:02

score 58 · Answer 4 · 2026-03-26 01:03:26

58

Views

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

Published on 26 Mar 2026 - 1:03

score 82 · Answer 5 · 2026-03-25 22:09:50

82

Views

Question about proof that normal operators have invariant subspace

Published on 25 Mar 2026 - 22:09

score 137 · Answer 6 · 2026-03-26 01:03:25

137

Views

Range of Normal operator N is closed and its spectrum

Published on 26 Mar 2026 - 1:03

score 85 · Answer 7 · 2026-03-25 23:37:06

85

Views

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

Published on 25 Mar 2026 - 23:37

score 152 · Answer 8 · 2026-03-26 01:07:33

152

Views

An operator that satisfies some condition is a normal operator

Published on 26 Mar 2026 - 1:07

score 19 · Answer 9 · 2026-03-26 01:01:15

19

Views

Spectral measure of a complement

Published on 26 Mar 2026 - 1:01

score 41 · Answer 10 · 2026-03-25 23:34:47

41

Views

Spectral measure and eigenvalues/eigenvectors

Published on 25 Mar 2026 - 23:34

score 22 · Answer 11 · 2026-03-26 01:27:27

22

Views

Prove that N is a normal operator.

Published on 26 Mar 2026 - 1:27

score 1.3k · Answer 12 · 2026-03-25 22:10:39

1.3k

Views

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

Published on 25 Mar 2026 - 22:10

score 699 · Answer 13 · 2026-03-25 22:06:37

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

score 87 · Answer 14 · 2026-03-25 23:34:48

87

Views

normal operator interchangeable then its adjoint also interchangeable

Published on 25 Mar 2026 - 23:34

score 678 · Answer 15 · 2026-03-26 01:00:10

678

Views

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

Published on 26 Mar 2026 - 1:00

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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