List questions from orthonormal

Published on 28 Apr 2021 - 15:11

21

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Show that the new system $e_0, e_1, e_2, ...$ is an orthonormal set in $C_p (a,b)$

Published on 26 Mar 2026 - 8:04

120

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Orthogonal Projection using Gram-Schmidt

Published on 02 May 2021 - 15:31

140

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Orthonormal polynomials and recurrence relation

Published on 05 May 2021 - 16:17

169

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Action of the unitary group on orthonormal $k$-frames is transitive

Published on 05 May 2021 - 20:54

185

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Cauchy-Schwarz inequality in terms of an orthonormal set

Published on 09 May 2021 - 16:55

183

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alternative for Schwarz inequality

Published on 12 May 2021 - 17:43

181

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Prove that a Riesz basis is really a basis

Published on 26 Mar 2026 - 1:28

137

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Scalar multiples of orthogonal matrices

Published on 30 Mar 2026 - 14:27

72

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Is it possible to set a part of matrix to get unitary matrix

Published on 27 Mar 2026 - 0:05

41

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If $\|v\|_Y=(\sum_{i=1}^\infty c_i^2)^{1/2}$ and $\|v\|_X=(\sum_{i=1}^\infty\lambda_ic_i^2)^{1/2}$, is $X$ compactly embedded into $Y$?

Published on 28 Mar 2026 - 17:40

179

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Creating Orthogonal, Orthonormal Vectors

Published on 26 Mar 2026 - 7:56

28

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Rank of a linear transformation on functions

Published on 01 Jun 2021 - 9:12

903

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Showing properties of unitary operator

Published on 02 Jun 2021 - 16:10

125

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Find orthonormal pairs $(x_1,x_2)$ and $(y_1,y_2)$, if $Ax_1=\alpha x_1+\beta x_2$ and $-By_1=\alpha y_1+\beta y_2.$

Published on 04 Jun 2021 - 5:27

List Question

Orthonormalized basis of linearly dependent system

Show that the new system $e_0, e_1, e_2, ...$ is an orthonormal set in $C_p (a,b)$

Orthogonal Projection using Gram-Schmidt

Orthonormal polynomials and recurrence relation

Action of the unitary group on orthonormal $k$-frames is transitive

Cauchy-Schwarz inequality in terms of an orthonormal set

alternative for Schwarz inequality

Prove that a Riesz basis is really a basis

Scalar multiples of orthogonal matrices

Is it possible to set a part of matrix to get unitary matrix

If $\|v\|_Y=(\sum_{i=1}^\infty c_i^2)^{1/2}$ and $\|v\|_X=(\sum_{i=1}^\infty\lambda_ic_i^2)^{1/2}$, is $X$ compactly embedded into $Y$?

Creating Orthogonal, Orthonormal Vectors

Rank of a linear transformation on functions

Showing properties of unitary operator

Find orthonormal pairs $(x_1,x_2)$ and $(y_1,y_2)$, if $Ax_1=\alpha x_1+\beta x_2$ and $-By_1=\alpha y_1+\beta y_2.$

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