Question

Proving that for $E$, the resolution of the identity, $|E_{x,y}(\omega)|^{2}\le E_{x,x}(\omega)E_{y,y}(\omega)$

score 114 · Answer 1 · 2017-01-06 15:23:20

114

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Proving that for $E$, the resolution of the identity, $|E_{x,y}(\omega)|^{2}\le E_{x,x}(\omega)E_{y,y}(\omega)$

Published on 06 Jan 2017 - 15:23

score 811 · Answer 2 · 2017-01-06 16:29:02

811

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$-Δ$ with domain $\{u∈H_0^1:Δu∈L^2\}$ admits an orthonormal basis of $L^2$ consisting of eigenfunctions of $-Δ$ with corresp. positive eigenvalues

Published on 06 Jan 2017 - 16:29

score 12.3k · Answer 3 · 2017-01-06 20:07:06

12.3k

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What is a resolvent of an operator?

Published on 06 Jan 2017 - 20:07

score 3.5k · Answer 4 · 2017-01-07 19:58:52

3.5k

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Meaning of the continuous spectrum and the residual spectrum

Published on 07 Jan 2017 - 19:58

score 239 · Answer 5 · 2017-01-07 23:13:11

239

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Probabilistic Interpretation of Laplace-Beltrami Spectrum

Published on 07 Jan 2017 - 23:13

score 434 · Answer 6 · 2017-01-09 03:47:50

434

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range of compact, self-adjoint operator

Published on 09 Jan 2017 - 3:47

score 60 · Answer 7 · 2026-03-28 11:35:05

60

Views

Weight numbers in Storm-Liouville problems

Published on 28 Mar 2026 - 11:35

score 9.8k · Answer 8 · 2026-03-30 20:52:06

9.8k

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Eigenvalue decomposition of non symmetric matrix

Published on 30 Mar 2026 - 20:52

score 76 · Answer 9 · 2026-03-25 22:30:44

76

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Inverse of $1-ba$ when $a,b$ are the elements of unital algebra $A$

Published on 25 Mar 2026 - 22:30

score 34 · Answer 10 · 2026-03-26 07:57:15

34

Views

question about the statement on Iooss's book

Published on 26 Mar 2026 - 7:57

score 323 · Answer 11 · 2017-01-13 16:30:26

323

Views

$\lambda\in\sigma(A)\Leftrightarrow P_{(\lambda-\epsilon,\lambda+\epsilon)}\neq 0\;\forall \epsilon>0$

Published on 13 Jan 2017 - 16:30

score 75 · Answer 12 · 2026-03-28 11:42:20

75

Views

Asymptotic formulas for eigenvalues and eigenfunctions

Published on 28 Mar 2026 - 11:42

score 25 · Answer 13 · 2017-01-18 10:16:08

25

Views

Possible to find the operator $A$ if I know the operators $K$ and $B$ and the spectrums are related by $\sigma(K) = \sigma(A) \bigcup \sigma(B)$?

Published on 18 Jan 2017 - 10:16

score 133 · Answer 14 · 2017-01-18 14:18:40

133

Views

How does the spectrum behave under WOT convergence?

Published on 18 Jan 2017 - 14:18

score 79 · Answer 15 · 2017-01-19 13:49:41

79

Views

Spectrum of averaging operator on $c_0(\mathbb{Z})$

Published on 19 Jan 2017 - 13:49

List Question

Proving that for $E$, the resolution of the identity, $|E_{x,y}(\omega)|^{2}\le E_{x,x}(\omega)E_{y,y}(\omega)$

$-Δ$ with domain $\{u∈H_0^1:Δu∈L^2\}$ admits an orthonormal basis of $L^2$ consisting of eigenfunctions of $-Δ$ with corresp. positive eigenvalues

What is a resolvent of an operator?

Meaning of the continuous spectrum and the residual spectrum

Probabilistic Interpretation of Laplace-Beltrami Spectrum

range of compact, self-adjoint operator

Weight numbers in Storm-Liouville problems

Eigenvalue decomposition of non symmetric matrix

Inverse of $1-ba$ when $a,b$ are the elements of unital algebra $A$

question about the statement on Iooss's book

$\lambda\in\sigma(A)\Leftrightarrow P_{(\lambda-\epsilon,\lambda+\epsilon)}\neq 0\;\forall \epsilon>0$

Asymptotic formulas for eigenvalues and eigenfunctions

Possible to find the operator $A$ if I know the operators $K$ and $B$ and the spectrums are related by $\sigma(K) = \sigma(A) \bigcup \sigma(B)$?

How does the spectrum behave under WOT convergence?

Spectrum of averaging operator on $c_0(\mathbb{Z})$

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