List questions from spectral-theory

85

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What's the spectrum of $A = \frac{1}{i} \frac{d}{dx}$, if $\text{dom } A = \left\{ u \in L^2 \left[a,b\right] \: : \: u(a) = 0 \right\}$?

Published on 02 Mar 2022 - 16:06

23

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What will be $\sigma (T)$ if $\mathcal H = (0)\ $?

Published on 11 Apr 2026 - 15:15

143

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Essential spectrum of shift operator

Published on 09 Apr 2026 - 6:48

71

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Closed graph theorem and convergence

Published on 26 Mar 2026 - 3:10

44

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Essential self-adjointness and uses for this operator?

Published on 08 Apr 2026 - 23:53

158

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What to do with symmetric but not essentially self-adjoint operators

Published on 09 Apr 2026 - 17:12

85

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$\pm A$ is sectorial implies it is bounded

Published on 11 Apr 2026 - 0:58

49

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Regarding invertibility of a certain element in a Banach algebra

Published on 01 Apr 2026 - 18:57

314

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Resolvent of Dirichlet Laplacian via Fourier Transform

Published on 10 Apr 2026 - 20:20

226

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Continuous spectrum of an integral operator

Published on 08 Apr 2026 - 18:53

27

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Maximum diameter of convex cone of solutions

Published on 08 Apr 2026 - 22:37

396

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Good books and lecture notes to learn pseudo-differential operators and spectral theory

Published on 11 Apr 2026 - 7:42

54

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How can the spectrum of $A = \frac{d}{dx}$ in $C(\mathbb{R})$ be equal to $\mathbb{R}$, as for every $\lambda$ there exists a resolvent $R(\lambda)g$?

Published on 17 Mar 2022 - 19:15

62

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Explicit expression for Fredholm determinant.

Published on 10 Apr 2026 - 5:07

326

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Prerequisites for Bourbaki spectral theory (French)

Published on 10 Apr 2026 - 20:57

List Question

What's the spectrum of $A = \frac{1}{i} \frac{d}{dx}$, if $\text{dom } A = \left\{ u \in L^2 \left[a,b\right] \: : \: u(a) = 0 \right\}$?

What will be $\sigma (T)$ if $\mathcal H = (0)\ $?

Essential spectrum of shift operator

Closed graph theorem and convergence

Essential self-adjointness and uses for this operator?

What to do with symmetric but not essentially self-adjoint operators

$\pm A$ is sectorial implies it is bounded

Regarding invertibility of a certain element in a Banach algebra

Resolvent of Dirichlet Laplacian via Fourier Transform

Continuous spectrum of an integral operator

Maximum diameter of convex cone of solutions

Good books and lecture notes to learn pseudo-differential operators and spectral theory

How can the spectrum of $A = \frac{d}{dx}$ in $C(\mathbb{R})$ be equal to $\mathbb{R}$, as for every $\lambda$ there exists a resolvent $R(\lambda)g$?

Explicit expression for Fredholm determinant.

Prerequisites for Bourbaki spectral theory (French)

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