Question

First eigenfunction on cylinder with mixed boundary conditions

score 29 · Answer 1 · 2023-05-18 03:42:27

29

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First eigenfunction on cylinder with mixed boundary conditions

Published on 18 May 2023 - 3:42

score 71 · Answer 2 · 2023-05-18 22:55:24

71

Views

Do all spectrums have a drum?

Published on 18 May 2023 - 22:55

score 35 · Answer 3 · 2023-05-21 15:06:36

35

Views

Finding resolvent of an operator

Published on 21 May 2023 - 15:06

score 19 · Answer 4 · 2026-03-30 08:03:03

19

Views

The spectral projector $\mathbb 1(-\Delta\leq \mu)$ on $L^2(\mathbb R^d,\mathbb C^d)$

Published on 30 Mar 2026 - 8:03

score 76 · Answer 5 · 2026-03-30 09:35:58

76

Views

If $0\leq A\leq B$ then the corresponding densities satisfy $0\leq\rho_A\leq \rho_B$

Published on 30 Mar 2026 - 9:35

score 83 · Answer 6 · 2023-05-22 18:44:56

83

Views

Question about Eigenvalues of left shift on $l^\infty$.

Published on 22 May 2023 - 18:44

score 48 · Answer 7 · 2026-03-27 06:56:41

48

Views

Reference request: Let $T$ be a self-adjoint operator, and assume that $V$ is compact and self-adjoint. Then $\sigma_{ess}(T + V ) = \sigma_{ess}(T)$.

Published on 27 Mar 2026 - 6:56

score 82 · Answer 8 · 2023-05-24 12:52:55

82

Views

Isolated eigenvalue of bounded operator is a pole of the resolvent

Published on 24 May 2023 - 12:52

score 134 · Answer 9 · 2026-03-30 04:39:26

134

Views

Subleading terms in Weyl's Law

Published on 30 Mar 2026 - 4:39

score 110 · Answer 10 · 2023-05-25 09:39:26

110

Views

Showing that if $A\in\mathcal{B}(H)$ and $v$ is an eigenvector of $A$ with $Av=cv$ then $f(A)v=f(c)v$ for a bounded measurable $f$ on $\sigma(A)$

Published on 25 May 2023 - 9:39

score 56 · Answer 11 · 2026-03-28 05:22:20

56

Views

Showing $\|P_E\psi\|^2\geq\frac{3}{4}$ if $\|\psi\|=1,\exists\lambda\in\mathbb{R}:\|T\psi-\lambda\psi\|\leq C$ for an unbounded linear operator $T$

Published on 28 Mar 2026 - 5:22

score 68 · Answer 12 · 2023-05-27 12:40:22

68

Views

Computing $\delta$-approximate eigenvalues

Published on 27 May 2023 - 12:40

score 29 · Answer 13 · 2026-03-26 08:02:25

29

Views

A result involving a family $\{\xi_t:t\in T\}$ of non-interferring real valued observales on Hilbert space $H$

Published on 26 Mar 2026 - 8:02

score 88 · Answer 14 · 2026-03-28 07:41:35

88

Views

spectrum of a variant of unilateral shift operator

Published on 28 Mar 2026 - 7:41

score 61 · Answer 15 · 2026-02-23 17:28:13

61

Views

Reed's and Simon's spectral theorem: Why $A\psi=\lambda\psi\implies f(A)\psi=f(\lambda)\psi$?

Published on 23 Feb 2026 - 17:28

List Question

First eigenfunction on cylinder with mixed boundary conditions

Do all spectrums have a drum?

Finding resolvent of an operator

The spectral projector $\mathbb 1(-\Delta\leq \mu)$ on $L^2(\mathbb R^d,\mathbb C^d)$

If $0\leq A\leq B$ then the corresponding densities satisfy $0\leq\rho_A\leq \rho_B$

Question about Eigenvalues of left shift on $l^\infty$.

Reference request: Let $T$ be a self-adjoint operator, and assume that $V$ is compact and self-adjoint. Then $\sigma_{ess}(T + V ) = \sigma_{ess}(T)$.

Isolated eigenvalue of bounded operator is a pole of the resolvent

Subleading terms in Weyl's Law

Showing that if $A\in\mathcal{B}(H)$ and $v$ is an eigenvector of $A$ with $Av=cv$ then $f(A)v=f(c)v$ for a bounded measurable $f$ on $\sigma(A)$

Showing $\|P_E\psi\|^2\geq\frac{3}{4}$ if $\|\psi\|=1,\exists\lambda\in\mathbb{R}:\|T\psi-\lambda\psi\|\leq C$ for an unbounded linear operator $T$

Computing $\delta$-approximate eigenvalues

A result involving a family $\{\xi_t:t\in T\}$ of non-interferring real valued observales on Hilbert space $H$

spectrum of a variant of unilateral shift operator

Reed's and Simon's spectral theorem: Why $A\psi=\lambda\psi\implies f(A)\psi=f(\lambda)\psi$?

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