List questions from orthogonality

Published on 07 May 2018 - 15:05

542

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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 08 May 2018 - 9:38

3.3k

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Are eigenvectors of a symmetric matrix orthonormal or just orthogonal?

Published on 09 May 2018 - 14:41

563

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Orthogonality Condition for hypergeometric functions

Published on 24 Mar 2026 - 22:10

224

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Find orthogonal complement and its basis

Published on 22 Mar 2026 - 10:15

1.9k

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Bessel function of first kind orthogonality equation

Published on 10 May 2018 - 22:03

251

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Generalization of monomial orthogonality?

Published on 24 Mar 2026 - 22:11

152

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How to prove that 2 vectors in C(A) corresponding to orthogonal vectors in row-space of A are orthgonal?

Published on 25 Mar 2026 - 1:29

160

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Trick to prove orthogonality for eigenfunctions?

Published on 25 Mar 2026 - 7:58

88

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$\vec{u}=\vec{w_{1}}+\vec{w_{2}}, w_1\in W$ and $w_2\in W^\perp$

Published on 12 May 2018 - 17:38

495

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Orthogonal complement and quadratic form

Published on 24 Mar 2026 - 22:06

3.2k

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Showing a set of vectors form an orthonormal basis

Published on 13 May 2018 - 1:10

186

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Orthogonality with respect to the standard inner product on $\mathbb{C}^{n\times1}$

Published on 14 May 2018 - 14:28

26

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orthogonal subspace - basis

Published on 15 May 2018 - 7:46

362

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orthogonal direct sum - counter example

Published on 16 May 2018 - 6:30

List Question

If $M$ is a subspace of a Hilbert space, then $(M^\bot)^\bot$ is the closure of $M$.

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

Are eigenvectors of a symmetric matrix orthonormal or just orthogonal?

Orthogonality Condition for hypergeometric functions

Find orthogonal complement and its basis

Bessel function of first kind orthogonality equation

Generalization of monomial orthogonality?

How to prove that 2 vectors in C(A) corresponding to orthogonal vectors in row-space of A are orthgonal?

Trick to prove orthogonality for eigenfunctions?

$\vec{u}=\vec{w_{1}}+\vec{w_{2}}, w_1\in W$ and $w_2\in W^\perp$

Orthogonal complement and quadratic form

Showing a set of vectors form an orthonormal basis

Orthogonality with respect to the standard inner product on $\mathbb{C}^{n\times1}$

orthogonal subspace - basis

orthogonal direct sum - counter example

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