List questions from hilbert-spaces

Published on 10 May 2026 - 13:46

150

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Surjective map onto a Hilbert space

Published on 13 Apr 2026 - 6:07

41

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Do operators which admit non-orthonormal spectral expansions have any non-basis eigenvectors?

Published on 15 Apr 2026 - 0:08

44

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$\left [(A- \langle A \rangle ),\right (B- \langle B \rangle )]=\left [A,B \right ] $

Published on 10 May 2026 - 11:19

106

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Explain a proof from a paper: why the inequality $b<\|A\|$ is strict?

Published on 12 Apr 2026 - 16:03

301

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Hamel and Hilbert Bases in A Hilbert Space

Published on 15 Apr 2026 - 2:52

49

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Quantum mechanics continuous index and $ | E , \delta E \rangle = \frac{1}{\sqrt{\delta E}} \int_{E}^{E + \delta E} dE' |E' \rangle$

Published on 29 Apr 2026 - 12:18

250

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Checking the well-definedness of an adjoint operator

Published on 03 May 2026 - 3:58

55

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Is the set of continuous function that are also $\mathcal{L}^1(\mathbb{R})$ a subset of $\mathcal{L}^2(\mathbb{R})$

Published on 10 May 2026 - 13:26

72

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A finite-codimensional subspace of the space of [square-integrable] holomorphic functions

Published on 10 May 2026 - 13:26

2.2k

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Weak convergence and convergence of norms imply strong convergence in Hilbert space

Published on 10 May 2026 - 12:54

83

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Uniform convergence of regularized inverse

Published on 05 May 2026 - 8:21

229

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Projection onto the space spanned by eigenfunctions in a Hilbert space

Published on 02 May 2026 - 18:32

62

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$L_2$ integrability of function composition

Published on 17 Apr 2026 - 0:04

712

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Recovering classical solution from weak one for the Laplace equation

Published on 29 Apr 2026 - 12:51

List Question

Simple exercise on spectral measures

Surjective map onto a Hilbert space

Do operators which admit non-orthonormal spectral expansions have any non-basis eigenvectors?

$\left [(A- \langle A \rangle ),\right (B- \langle B \rangle )]=\left [A,B \right ] $

Explain a proof from a paper: why the inequality $b<\|A\|$ is strict?

Hamel and Hilbert Bases in A Hilbert Space

Quantum mechanics continuous index and $ | E , \delta E \rangle = \frac{1}{\sqrt{\delta E}} \int_{E}^{E + \delta E} dE' |E' \rangle$

Checking the well-definedness of an adjoint operator

Is the set of continuous function that are also $\mathcal{L}^1(\mathbb{R})$ a subset of $\mathcal{L}^2(\mathbb{R})$

A finite-codimensional subspace of the space of [square-integrable] holomorphic functions

Weak convergence and convergence of norms imply strong convergence in Hilbert space

Uniform convergence of regularized inverse

Projection onto the space spanned by eigenfunctions in a Hilbert space

$L_2$ integrability of function composition

Recovering classical solution from weak one for the Laplace equation

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