Question

Analitycity of band functions

score 21 · Answer 1 · 2023-03-29 10:04:07

21

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Analitycity of band functions

Published on 29 Mar 2023 - 10:04

score 45 · Answer 2 · 2023-04-08 16:49:57

45

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Self-adjoint operator in $L^2(\mathbb Q_p)$.

Published on 08 Apr 2023 - 16:49

score 131 · Answer 3 · 2023-04-08 19:04:21

131

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Spectral resolution of discrete Laplacian on $\ell^2(\mathbb{Z})$

Published on 08 Apr 2023 - 19:04

score 40 · Answer 4 · 2023-04-12 07:30:49

40

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$T = A+i B$ is normal operator, if $\Vert T x \Vert^2 = \Vert Ax \Vert^2 + \Vert Bx \Vert^2$.

Published on 12 Apr 2023 - 7:30

score 109 · Answer 5 · 2023-04-12 08:53:11

109

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Proof verification: Characterising the domain of a self-adjoint operator

Published on 12 Apr 2023 - 8:53

score 73 · Answer 6 · 2023-04-12 20:22:17

73

Views

Inequality for $\langle T^2x, x\rangle$ if $T$ is positive operator

Published on 12 Apr 2023 - 20:22

score 31 · Answer 7 · 2023-04-16 08:29:34

31

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For self-adjoint automorphism $T$, to what extent is $U \circ T \circ S$ equivalent to $U \circ S$?

Published on 16 Apr 2023 - 8:29

score 51 · Answer 8 · 2023-04-23 21:20:55

51

Views

Does the existence of an eigenbasis imply boundedness?

Published on 23 Apr 2023 - 21:20

score 243 · Answer 9 · 2023-04-24 08:06:56

243

Views

Hermitian matrices and inner products

Published on 24 Apr 2023 - 8:06

score 64 · Answer 10 · 2023-04-24 17:03:15

64

Views

Is the kernel finite-dimensional if only finitely many basis-vectors of a Hilbert basis are mapped to zero?

Published on 24 Apr 2023 - 17:03

score 38 · Answer 11 · 2026-03-25 09:48:31

38

Views

Can an eigenbasis be divided into bases of the eigenspaces?

Published on 25 Mar 2026 - 9:48

score 54 · Answer 12 · 2026-03-25 08:12:52

54

Views

Representation of semigroup of trace-class operators in terms of projectors

Published on 25 Mar 2026 - 8:12

score 83 · Answer 13 · 2023-04-26 20:04:45

83

Views

If $T$ is symmetric and has at least one real number in its resolvent set, then it is self-adjoint?

Published on 26 Apr 2023 - 20:04

score 86 · Answer 14 · 2023-04-29 05:38:48

86

Views

Why does $\int_{-\infty}^\infty e^{ar}\nabla^2\nabla^2 e^{br} = \int_{-\infty}^\infty e^{br}\nabla^2\nabla^2 e^{ar}$ for a self-adjoint operator?

Published on 29 Apr 2023 - 5:38

score 79 · Answer 15 · 2023-05-03 13:23:17

79

Views

Deficiency indices of the restriction of a self-adjoint operator to the kernel of a rank-one functional

Published on 03 May 2023 - 13:23

List Question

Analitycity of band functions

Self-adjoint operator in $L^2(\mathbb Q_p)$.

Spectral resolution of discrete Laplacian on $\ell^2(\mathbb{Z})$

$T = A+i B$ is normal operator, if $\Vert T x \Vert^2 = \Vert Ax \Vert^2 + \Vert Bx \Vert^2$.

Proof verification: Characterising the domain of a self-adjoint operator

Inequality for $\langle T^2x, x\rangle$ if $T$ is positive operator

For self-adjoint automorphism $T$, to what extent is $U \circ T \circ S$ equivalent to $U \circ S$?

Does the existence of an eigenbasis imply boundedness?

Hermitian matrices and inner products

Is the kernel finite-dimensional if only finitely many basis-vectors of a Hilbert basis are mapped to zero?

Can an eigenbasis be divided into bases of the eigenspaces?

Representation of semigroup of trace-class operators in terms of projectors

If $T$ is symmetric and has at least one real number in its resolvent set, then it is self-adjoint?

Why does $\int_{-\infty}^\infty e^{ar}\nabla^2\nabla^2 e^{br} = \int_{-\infty}^\infty e^{br}\nabla^2\nabla^2 e^{ar}$ for a self-adjoint operator?

Deficiency indices of the restriction of a self-adjoint operator to the kernel of a rank-one functional

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