List questions from hilbert-spaces

Published on 12 Apr 2026 - 0:20

123

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Elias Stein's Real analysis chapter 4 exercise 9

Published on 11 Apr 2026 - 21:27

83

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Is there analog of angle in complex domain?

Published on 11 Apr 2026 - 13:05

67

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An orthonormal basis of $L^{2}(\mathbb{R}^{n})$ which is pointwise in $\ell^{2}(\mathbb{N})$?

Published on 13 Apr 2026 - 16:47

62

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Infinite decomposition of a Hilbert space

Published on 13 Apr 2026 - 2:17

105

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Integration over a finite-dimensional subspace of Hilbert space

Published on 11 Apr 2026 - 11:18

147

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Question on showing that $\frac{1}{n}\sum_{k=0}^{n-1}U^kf$ converges in norm to the orthogonal projection $Pf$ to the space $\{f\in H: Uf = f\}$

Published on 13 Apr 2026 - 11:59

22

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What are the $\mathcal{M}_{sym}=\{E \operatorname{Lebesgue measurable and } E=-E \}$ measurable functions?

Published on 13 Apr 2026 - 0:37

81

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On the convergence of approximate units for C*-algebras.

Published on 02 Apr 2026 - 0:31

364

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If $P$ is self-adjoint and $P^2$ is a projection, when is $P$ a projection?

Published on 13 Apr 2026 - 0:18

33

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Question on finding a Hilbert space isomorphism between $L^2([0,R]^n)\otimes L^2([0,R]^m)$ and $L^2([0,R]^{n+m})$

Published on 27 Mar 2026 - 14:03

38

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Does strictly positive-definite imply local minimum?

Published on 09 Apr 2026 - 8:55

63

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Bound on $\|ABv\|$ in terms of $\|Av\|$

Published on 25 Mar 2026 - 17:22

111

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Convergence of inverse operator with projections

Published on 26 Mar 2026 - 4:51

38

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inverse of a matrix representation of a projected operator

Published on 12 Apr 2026 - 12:36

List Question

Non-unitary isometry and a norm equality

Elias Stein's Real analysis chapter 4 exercise 9

Is there analog of angle in complex domain?

An orthonormal basis of $L^{2}(\mathbb{R}^{n})$ which is pointwise in $\ell^{2}(\mathbb{N})$?

Infinite decomposition of a Hilbert space

Integration over a finite-dimensional subspace of Hilbert space

Question on showing that $\frac{1}{n}\sum_{k=0}^{n-1}U^kf$ converges in norm to the orthogonal projection $Pf$ to the space $\{f\in H: Uf = f\}$

What are the $\mathcal{M}_{sym}=\{E \operatorname{Lebesgue measurable and } E=-E \}$ measurable functions?

On the convergence of approximate units for C*-algebras.

If $P$ is self-adjoint and $P^2$ is a projection, when is $P$ a projection?

Question on finding a Hilbert space isomorphism between $L^2([0,R]^n)\otimes L^2([0,R]^m)$ and $L^2([0,R]^{n+m})$

Does strictly positive-definite imply local minimum?

Bound on $\|ABv\|$ in terms of $\|Av\|$

Convergence of inverse operator with projections

inverse of a matrix representation of a projected operator

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