List questions from unitary-matrices

219

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How do unitary preserve inner products? Why is $\langle U x, U y \rangle = \langle x, U^\dagger U y \rangle$?

Published on 26 Mar 2026 - 17:46

90

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Properties of Unitary operators on Hilbert spaces

Published on 07 Feb 2021 - 21:35

105

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Maintain unitary time evolution for a nonlinear ODE

Published on 10 Feb 2021 - 0:44

95

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Prove unitary evolution for an ODE

Published on 26 Mar 2026 - 17:44

144

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Backward Stability solving linear system with unitary matrices

Published on 15 Feb 2021 - 3:08

43

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Solve $A^T\Sigma A=I$ for $A$ with $\Sigma$ being psd

Published on 21 Feb 2021 - 20:27

556

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Unitary group is a properly embedded Lie subgroup of $GL(n, \mathbb C)$

Published on 24 Feb 2021 - 3:16

53

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What is the meaning of the words here?

Published on 25 Feb 2021 - 16:41

876

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Show that every eigenvalue to a unitary operator has absolute value 1

Published on 25 Feb 2021 - 17:27

344

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Given a set of unitary matrices, can one find a vector whose images under these unitary matrices span the underlying Hilbert space?

Published on 01 Mar 2021 - 3:00

46

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Solvability of a system with matrix unknowns

Published on 26 Mar 2026 - 6:03

143

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How to prove that the exp: $ \mathfrak{su(n)} \to SU(n)$ is surjective

Published on 04 Mar 2021 - 17:59

522

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Are orthogonal matrices unitary?

Published on 10 Mar 2021 - 17:00

1.3k

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Prove that $e^{iAt}$ is unitary if $A$ is Hermitian

Published on 26 Mar 2026 - 17:46

490

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Prove that there exists a unitary matrix $U$ such that $U^H A U = B$

Published on 17 Mar 2021 - 17:43

List Question

How do unitary preserve inner products? Why is $\langle U x, U y \rangle = \langle x, U^\dagger U y \rangle$?

Properties of Unitary operators on Hilbert spaces

Maintain unitary time evolution for a nonlinear ODE

Prove unitary evolution for an ODE

Backward Stability solving linear system with unitary matrices

Solve $A^T\Sigma A=I$ for $A$ with $\Sigma$ being psd

Unitary group is a properly embedded Lie subgroup of $GL(n, \mathbb C)$

What is the meaning of the words here?

Show that every eigenvalue to a unitary operator has absolute value 1

Given a set of unitary matrices, can one find a vector whose images under these unitary matrices span the underlying Hilbert space?

Solvability of a system with matrix unknowns

How to prove that the exp: $ \mathfrak{su(n)} \to SU(n)$ is surjective

Are orthogonal matrices unitary?

Prove that $e^{iAt}$ is unitary if $A$ is Hermitian

Prove that there exists a unitary matrix $U$ such that $U^H A U = B$

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