List questions from spectral-theory

Published on 11 May 2026 - 0:06

61

Views

Two subsets of the spectrum, do they agree?

Published on 12 Apr 2026 - 12:19

307

Views

Second Order Linear Coupled System of PDE's

Published on 16 Apr 2026 - 19:06

418

Views

Spectral theorem for bounded self-adjoint and coercive operators on a Hilbert space

Published on 12 Apr 2026 - 11:19

76

Views

analytic continuation and spectrum

Published on 10 May 2026 - 17:57

253

Views

Determination of the unitary irreps of $\mathbb{R}$ using Stone's theorem

Published on 14 Apr 2026 - 5:55

339

Views

Lifting spectral gap to covering space

Published on 12 Apr 2026 - 12:52

647

Views

Prove that $Tf(x)=\int^{1-x}_0 f(t) \, dt$ is compact and compute its spectrum.

Published on 10 May 2026 - 20:26

249

Views

If $T$ has continuous spectrum and $(f, 1)=0$ then $\mu_{f}$ has no atoms.

Published on 11 May 2026 - 3:17

858

Views

Motivation of Adjoints and Normal Operators

Published on 14 Apr 2026 - 8:28

59

Views

Distribution of 2nd smallest eigenvalue in an random graph

Published on 10 May 2026 - 14:58

96

Views

Is there a compact operator in $\ell^2$ satisying these properties?

Published on 10 May 2026 - 18:04

116

Views

quasi-nilpotent part of an operator

Published on 11 Apr 2026 - 7:15

400

Views

Finding eigenvalues of $T + T^*$, where $T$ is the right-shift operator

Published on 11 Apr 2026 - 4:31

73

Views

Some doubt on $L^\infty$ of measure space

Published on 13 Apr 2026 - 3:54

List Question

“Hearing” the shape of a drum

Two subsets of the spectrum, do they agree?

Second Order Linear Coupled System of PDE's

Spectral theorem for bounded self-adjoint and coercive operators on a Hilbert space

analytic continuation and spectrum

Determination of the unitary irreps of $\mathbb{R}$ using Stone's theorem

Lifting spectral gap to covering space

Prove that $Tf(x)=\int^{1-x}_0 f(t) \, dt$ is compact and compute its spectrum.

If $T$ has continuous spectrum and $(f, 1)=0$ then $\mu_{f}$ has no atoms.

Motivation of Adjoints and Normal Operators

Distribution of 2nd smallest eigenvalue in an random graph

Is there a compact operator in $\ell^2$ satisying these properties?

quasi-nilpotent part of an operator

Finding eigenvalues of $T + T^*$, where $T$ is the right-shift operator

Some doubt on $L^\infty$ of measure space

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