List questions from orthonormal

Published on 04 Jun 2021 - 11:55

149

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Unitary matrix completion problem

Published on 25 Mar 2026 - 17:35

25

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Proving the uniqueness of a vector

Published on 12 Jun 2021 - 11:35

78

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Show that if $\{e_n\} $ and $\{Te_n\} $ are orthonormal basis, then $T$ is unitary.

Published on 17 Jun 2021 - 23:04

80

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Countable subsets of Hilbert space

Published on 26 Mar 2026 - 7:57

184

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Is this figure interpretable in terms of Holonomy Group and connections with different metrics?

Published on 26 Mar 2026 - 4:34

71

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Find $x$ such that $x^*Ax=a$ and $\|x\|_2=1$

Published on 21 Jun 2021 - 3:58

449

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Sum of squares of lengths of projections on basis vector is equal to square of norm of vector

Published on 24 Jun 2021 - 2:06

85

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Orthonormal basis in a built bilinear form

Published on 30 Mar 2026 - 9:55

82

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Sesquilinear form

Published on 30 Mar 2026 - 18:50

20

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Ways to build a set of linear independent vectors from an orthonormal basis.

Published on 04 Jul 2021 - 10:13

228

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Does the discrete Fourier transform give a real orthonormal basis?

Published on 05 Jul 2021 - 17:30

225

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For any vector space with a basis, does there exist a choice of inner product w.r.t. which the basis is orthonormal?

Published on 26 Mar 2026 - 3:01

253

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Is it true that $\text{proj}_{U+W}=\text{proj}_U+\text{proj}_W-\text{proj}_{U\cap W}$?

Published on 07 Jul 2021 - 0:24

101

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Show that $\phi (x)\cdot \phi (y)=x\cdot y$ for all $x,y\in \mathbb{R}^3$

Published on 11 Jul 2021 - 11:53

List Question

How two conditions are satisfied by any normalized vector

Unitary matrix completion problem

Proving the uniqueness of a vector

Show that if $\{e_n\} $ and $\{Te_n\} $ are orthonormal basis, then $T$ is unitary.

Countable subsets of Hilbert space

Is this figure interpretable in terms of Holonomy Group and connections with different metrics?

Find $x$ such that $x^*Ax=a$ and $\|x\|_2=1$

Sum of squares of lengths of projections on basis vector is equal to square of norm of vector

Orthonormal basis in a built bilinear form

Sesquilinear form

Ways to build a set of linear independent vectors from an orthonormal basis.

Does the discrete Fourier transform give a real orthonormal basis?

For any vector space with a basis, does there exist a choice of inner product w.r.t. which the basis is orthonormal?

Is it true that $\text{proj}_{U+W}=\text{proj}_U+\text{proj}_W-\text{proj}_{U\cap W}$?

Show that $\phi (x)\cdot \phi (y)=x\cdot y$ for all $x,y\in \mathbb{R}^3$

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