List questions from hilbert-spaces

543

Views

An example of orthonormal sequence $(e_k)_{k \in \mathbb N}$, such that $x \neq \sum_{k=1}^{\infty} \langle x,e_k\rangle e_k$.

Published on 25 Mar 2026 - 17:38

16

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$H_{SO}=f(r)\overrightarrow{S}\cdot\overrightarrow{L} \,\,\,$ $[H_{SO},L_z] \neq 0$

Published on 11 Mar 2026 - 9:29

89

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Equal inner product implies vectors are equal

Published on 09 May 2018 - 16:06

131

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A question about pinned Gaussian processes

Published on 25 Mar 2026 - 19:01

160

Views

Local Lipschitz property of a function defined by limsup of distance from a bounded sequence

Published on 25 Mar 2026 - 3:34

477

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Matrix product with Pauli matrices

Published on 09 May 2018 - 21:23

70

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Find the adjoint operator in Hilbert space $L_2(0,1)$

Published on 10 May 2018 - 1:33

41

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Theorems relating compositions of functions and density

Published on 10 May 2018 - 1:41

1.7k

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Infinite dimensional Hilbert space is isomorphic to $L^{2}$

Published on 10 May 2018 - 18:58

27

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Help with Integral of Step Functions

Published on 11 May 2018 - 16:54

105

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Find the $L^2 (-\pi,\pi)$-norm

Published on 11 May 2018 - 17:14

226

Views

Help with Pythagorean theorem proof for Hilbert Spaces

Published on 11 May 2018 - 18:12

344

Views

Projection on uncountable orthonormal set

Published on 25 Mar 2026 - 9:46

37

Views

Operators and power regularity

Published on 13 May 2018 - 12:48

73

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Several doubts about the tensor product between Hilbert spaces

Published on 13 May 2018 - 17:44

List Question

An example of orthonormal sequence $(e_k)_{k \in \mathbb N}$, such that $x \neq \sum_{k=1}^{\infty} \langle x,e_k\rangle e_k$.

$H_{SO}=f(r)\overrightarrow{S}\cdot\overrightarrow{L} \,\,\,$ $[H_{SO},L_z] \neq 0$

Equal inner product implies vectors are equal

A question about pinned Gaussian processes

Local Lipschitz property of a function defined by limsup of distance from a bounded sequence

Matrix product with Pauli matrices

Find the adjoint operator in Hilbert space $L_2(0,1)$

Theorems relating compositions of functions and density

Infinite dimensional Hilbert space is isomorphic to $L^{2}$

Help with Integral of Step Functions

Find the $L^2 (-\pi,\pi)$-norm

Help with Pythagorean theorem proof for Hilbert Spaces

Projection on uncountable orthonormal set

Operators and power regularity

Several doubts about the tensor product between Hilbert spaces

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