Question

Size of essential spectrum if $T-\lambda$ is not injective for all $\lambda$ in the essential spectrum.

score 89 · Answer 1 · 2026-03-27 06:08:20

89

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Size of essential spectrum if $T-\lambda$ is not injective for all $\lambda$ in the essential spectrum.

Published on 27 Mar 2026 - 6:08

score 97 · Answer 2 · 2026-04-11 11:37:12

97

Views

How to derive the Sommerfeld radiation condition from the resolvent?

Published on 11 Apr 2026 - 11:37

score 173 · Answer 3 · 2026-04-03 01:05:46

173

Views

Example of an ergodic transformation with some properties in the spectrum of the Koopman operator

Published on 03 Apr 2026 - 1:05

score 73 · Answer 4 · 2026-03-27 13:48:33

73

Views

What is the number of linear independent eigenvectors of a complex matrix when the characteristic and minimal polynomials are the same?

Published on 27 Mar 2026 - 13:48

score 35 · Answer 5 · 2026-02-24 13:50:32

35

Views

Logarithm of bilateral shift $-i\log(U)$ acting on basis elements of $\ell^{2}(\mathbb{Z})$

Published on 24 Feb 2026 - 13:50

score 91 · Answer 6 · 2026-04-10 23:10:27

91

Views

Is every bounded linear functional on a subspace of a Hilbert space given by a function?

Published on 10 Apr 2026 - 23:10

score 43 · Answer 7 · 2026-04-11 12:03:45

43

Views

Is $r \in \text{Rad}(A)$?

Published on 11 Apr 2026 - 12:03

score 76 · Answer 8 · 2026-03-25 21:22:11

76

Views

Spectral properties of two positive-definite Toeplitz matrices

Published on 25 Mar 2026 - 21:22

score 133 · Answer 9 · 2022-04-28 18:43:26

133

Views

If A is symmetric and $A^2 = A$, show it is a projection matrix.

Published on 28 Apr 2022 - 18:43

score 34 · Answer 10 · 2026-02-24 13:45:15

34

Views

Check self adjointness of element

Published on 24 Feb 2026 - 13:45

score 93 · Answer 11 · 2026-04-11 03:06:42

93

Views

Is the spectrum of $AB+C$ the same as $BA+C$?

Published on 11 Apr 2026 - 3:06

score 44 · Answer 12 · 2026-04-11 05:25:59

44

Views

Showing 1 cannot be an eigenvalue after rotating an operator

Published on 11 Apr 2026 - 5:25

score 96 · Answer 13 · 2026-03-26 12:33:39

96

Views

Eigenvalues of graph laplacian question

Published on 26 Mar 2026 - 12:33

score 148 · Answer 14 · 2022-05-12 12:17:30

148

Views

If $\lambda$ is in the continous spectrum of $L$, then the range of $L-\lambda$ can not be closed?

Published on 12 May 2022 - 12:17

score 281 · Answer 15 · 2026-03-26 01:03:03

281

Views

Normal operator $T$, $\sigma(T) \subset \{0,1\} \Rightarrow$ $T$ is an orthogonal projection

Published on 26 Mar 2026 - 1:03

List Question

Size of essential spectrum if $T-\lambda$ is not injective for all $\lambda$ in the essential spectrum.

How to derive the Sommerfeld radiation condition from the resolvent?

Example of an ergodic transformation with some properties in the spectrum of the Koopman operator

What is the number of linear independent eigenvectors of a complex matrix when the characteristic and minimal polynomials are the same?

Logarithm of bilateral shift $-i\log(U)$ acting on basis elements of $\ell^{2}(\mathbb{Z})$

Is every bounded linear functional on a subspace of a Hilbert space given by a function?

Is $r \in \text{Rad}(A)$?

Spectral properties of two positive-definite Toeplitz matrices

If A is symmetric and $A^2 = A$, show it is a projection matrix.

Check self adjointness of element

Is the spectrum of $AB+C$ the same as $BA+C$?

Showing 1 cannot be an eigenvalue after rotating an operator

Eigenvalues of graph laplacian question

If $\lambda$ is in the continous spectrum of $L$, then the range of $L-\lambda$ can not be closed?

Normal operator $T$, $\sigma(T) \subset \{0,1\} \Rightarrow$ $T$ is an orthogonal projection

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