List questions from hilbert-spaces

Published on 01 Apr 2026 - 14:21

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Is the intersection between two $n$-spheres an $(n-1)$-sphere?

Published on 25 Nov 2014 - 22:01

191

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Green-Operator for Sturm-Liouville Differential equation compact on Sobolev space?

Published on 26 Mar 2026 - 17:31

607

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Proving dense set is core for a self adjoint operator

Published on 26 Nov 2014 - 3:40

5.3k

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Hermite functions as eigenvectors of Fourier transform

Published on 26 Nov 2014 - 19:04

1.2k

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Weak convergence in Hilbert space implies strong convergence of averages for some subsequence

Published on 30 Mar 2026 - 15:14

1.3k

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Reproducing kernel Hilbert space, why?

Published on 29 Mar 2026 - 20:55

1.8k

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Brownian motion, reproducing kernel Hilbert space, and the Laplace operator

Published on 27 Mar 2026 - 14:10

258

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Uncountable series without axiom of choice

Published on 31 Mar 2026 - 10:10

330

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Does Convergence of Maps Evaluated at Points Imply Convergence in Operator Norm?

Published on 28 Nov 2014 - 19:33

15.1k

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Double orthogonal complement is equal to topological closure

Published on 28 Mar 2026 - 15:45

90

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Dichotomy for global existence or blow up for solutions of evolution problems.

Published on 01 Apr 2026 - 16:01

1k

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Which Sobolev-Space to use to formulate weak biharmonic equation, $H^2_0$ or $H_0^1\cap H^2$?

Published on 26 Mar 2026 - 4:34

1.1k

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Tensor Product: Hilbert Spaces

Published on 01 Dec 2014 - 10:43

103

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If $H$ is a Hilbert space and $T$ an isometric operator, then $\overline{R(T-I)}=H \implies N(T-I)=\{0\}$?

Published on 02 Dec 2014 - 4:38

List Question

Stone's Theorem Integral: Avanced Integral

Is the intersection between two $n$-spheres an $(n-1)$-sphere?

Green-Operator for Sturm-Liouville Differential equation compact on Sobolev space?

Proving dense set is core for a self adjoint operator

Hermite functions as eigenvectors of Fourier transform

Weak convergence in Hilbert space implies strong convergence of averages for some subsequence

Reproducing kernel Hilbert space, why?

Brownian motion, reproducing kernel Hilbert space, and the Laplace operator

Uncountable series without axiom of choice

Does Convergence of Maps Evaluated at Points Imply Convergence in Operator Norm?

Double orthogonal complement is equal to topological closure

Dichotomy for global existence or blow up for solutions of evolution problems.

Which Sobolev-Space to use to formulate weak biharmonic equation, $H^2_0$ or $H_0^1\cap H^2$?

Tensor Product: Hilbert Spaces

If $H$ is a Hilbert space and $T$ an isometric operator, then $\overline{R(T-I)}=H \implies N(T-I)=\{0\}$?

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