List questions from spectral-theory

Published on 23 Feb 2026 - 4:46

227

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Norm of spectral projections

Published on 25 Mar 2026 - 20:57

591

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Find the spectrum of the multiplication operator $Mf(x) = m(x) f(x)$ on $L^2(\mathbb{R})$

Published on 01 Sep 2019 - 23:18

762

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Find and classify the spectrum of an integral operator $K: L^2 (0,1) \rightarrow L^2 (0,1)$

Published on 26 Mar 2026 - 6:11

60

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Can we cycle operators when we calculate operator norms?

Published on 25 Mar 2026 - 7:42

157

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Spectral Radius of Hilbert-Schmidt Integral Operator

Published on 26 Mar 2026 - 6:05

227

Views

An application of the Paley-Wiener theorem

Published on 25 Mar 2026 - 21:49

151

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Different terminology for spectrum?

Published on 13 Sep 2019 - 1:10

177

Views

Resolvent bounds for non-normal operators

Published on 17 Sep 2019 - 18:47

741

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Does $\sigma(T) = \{1\}$ and $\|T\| = 1$ imply that $T$ is the identity?

Published on 25 Mar 2026 - 14:27

41

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When can every element of a Hilbert space be represented in terms of the spectral resolution of a self-adjoint operator?

Published on 23 Feb 2026 - 1:08

54

Views

$T: \mathbb{R}^n \to \mathbb{R}^n$ linear with $n > 1$. Then there is $M$ with $\dim M = 2$ and $T(M) \subset M$.

Published on 20 Sep 2019 - 18:15

369

Views

Eigenvalues of $BB^T$ where $B$ is the Incidence Matrix

Published on 21 Sep 2019 - 21:50

68

Views

Injectivity of Borel Functional Calculus

Published on 23 Sep 2019 - 14:05

668

Views

Point Spectrum, Spectrum for Operator

Published on 25 Sep 2019 - 17:28

List Question

Spectral theory; separation of spectrum, eigenprojections

Norm of spectral projections

Find the spectrum of the multiplication operator $Mf(x) = m(x) f(x)$ on $L^2(\mathbb{R})$

Find and classify the spectrum of an integral operator $K: L^2 (0,1) \rightarrow L^2 (0,1)$

Can we cycle operators when we calculate operator norms?

Spectral Radius of Hilbert-Schmidt Integral Operator

An application of the Paley-Wiener theorem

Different terminology for spectrum?

Resolvent bounds for non-normal operators

Does $\sigma(T) = \{1\}$ and $\|T\| = 1$ imply that $T$ is the identity?

When can every element of a Hilbert space be represented in terms of the spectral resolution of a self-adjoint operator?

$T: \mathbb{R}^n \to \mathbb{R}^n$ linear with $n > 1$. Then there is $M$ with $\dim M = 2$ and $T(M) \subset M$.

Eigenvalues of $BB^T$ where $B$ is the Incidence Matrix

Injectivity of Borel Functional Calculus

Point Spectrum, Spectrum for Operator

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