List questions from hilbert-spaces

Published on 26 Dec 2016 - 1:59

188

Views

$\sup_{n}\|f_{n}\|_{2}<\infty$ and $f_{n}\rightarrow f$ a.e. implies weak convergence.

Published on 27 Dec 2016 - 5:43

302

Views

Closest element to subspace $S$ in Hilbert space has orthogonality

Published on 11 Apr 2026 - 21:53

2.6k

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Confusion about the Hamel Basis

Published on 10 Apr 2026 - 22:21

244

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continuous function to continue linear functional in Hilbert space

Published on 08 Apr 2026 - 18:53

237

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Closed subspace of Sobolev space

Published on 04 Apr 2026 - 12:43

204

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Density of orthogonal projections in $\mathcal{B}(\mathcal{H})$

Published on 27 Mar 2026 - 23:32

256

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Estimate the remainder in Taylor's formula for a nonlinear map between Hilbert spaces

Published on 29 Dec 2016 - 0:14

123

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Spectrum of bounded operators

Published on 11 Apr 2026 - 9:41

561

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Self-adjoint bounded operators in a Hilbert space

Published on 27 Mar 2026 - 22:59

123

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$K(\ell_2)$ is separable?

Published on 26 Mar 2026 - 3:10

202

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Prove that $X$ is not Hilbert

Published on 09 Apr 2026 - 1:52

301

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Dense subspaces of Hilbert space with trivial intersection

Published on 31 Dec 2016 - 13:58

452

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Polynomials on n-sphere as a reproducing kernel Hilbert Space

Published on 10 Apr 2026 - 17:28

113

Views

Is the extension of a densely defined $1-1$ bounded linear operator on a Hilbert space still $1-1?$

Published on 06 Apr 2026 - 5:17

List Question

Hilbert space: Proof the formula similar to Parallelogram Law

$\sup_{n}\|f_{n}\|_{2}<\infty$ and $f_{n}\rightarrow f$ a.e. implies weak convergence.

Closest element to subspace $S$ in Hilbert space has orthogonality

Confusion about the Hamel Basis

continuous function to continue linear functional in Hilbert space

Closed subspace of Sobolev space

Density of orthogonal projections in $\mathcal{B}(\mathcal{H})$

Estimate the remainder in Taylor's formula for a nonlinear map between Hilbert spaces

Spectrum of bounded operators

Self-adjoint bounded operators in a Hilbert space

$K(\ell_2)$ is separable?

Prove that $X$ is not Hilbert

Dense subspaces of Hilbert space with trivial intersection

Polynomials on n-sphere as a reproducing kernel Hilbert Space

Is the extension of a densely defined $1-1$ bounded linear operator on a Hilbert space still $1-1?$

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