List questions from adjoint-operators

Published on 26 Mar 2026 - 12:41

149

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Exponential form of a unitary operator

Published on 26 Mar 2026 - 22:13

75

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Let $H$ a Hilbert space and $T\in \mathcal{B}(H)$. $T$ is a isometry $\Leftrightarrow$ $T\circ T^{*}=I$

Published on 03 Apr 2021 - 13:22

73

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Is $L^p(\mu)$ isometrically embedded into $L^q(\mu)$ when $p=\infty$ or $q=\infty$? And what can we say about the adjoint of the embedding?

Published on 30 Mar 2026 - 6:48

72

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Inclusion operator on half-integer weight modular forms and its adjoint

Published on 05 Apr 2021 - 0:39

260

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Trace norm and Bures distance

Published on 05 Apr 2021 - 16:35

64

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Question on operator and its adjoint in Hilbert space: $A^{*}A = \text{id}_H$

Published on 07 Apr 2021 - 7:55

495

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Relation between adjoint and dual space

Published on 30 Mar 2026 - 8:21

77

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Find the adjoint of the following linear operator.

Published on 08 Apr 2021 - 18:46

92

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adjoint operator for gradient descent optimization

Published on 09 Apr 2021 - 19:22

35

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Prove A=A* where $Ax = \sum_{n}a_{n}\langle x, u_n \rangle u_n =0 $ iff $a_{n} \in \mathbb{R}$

Published on 26 Mar 2026 - 22:16

160

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If $V=W$ (vector spaces), then $\det A^{\dagger}=\det A$, where $A$ is a map and $A^{\dagger}$ is its adjoint

Published on 10 Apr 2021 - 15:37

181

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For $T\colon V\to V$ every anti self-adjoint $T$ is orthogonally diagonalizable.

Published on 16 Apr 2021 - 6:28

80

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Exercise with normal operators.

Published on 26 Mar 2026 - 1:26

568

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Does the derivative operator have an adjoint?

Published on 28 Apr 2021 - 15:33

List Question

Finding the adjoint operation of a black-box differential operator

Exponential form of a unitary operator

Let $H$ a Hilbert space and $T\in \mathcal{B}(H)$. $T$ is a isometry $\Leftrightarrow$ $T\circ T^{*}=I$

Is $L^p(\mu)$ isometrically embedded into $L^q(\mu)$ when $p=\infty$ or $q=\infty$? And what can we say about the adjoint of the embedding?

Inclusion operator on half-integer weight modular forms and its adjoint

Trace norm and Bures distance

Question on operator and its adjoint in Hilbert space: $A^{*}A = \text{id}_H$

Relation between adjoint and dual space

Find the adjoint of the following linear operator.

adjoint operator for gradient descent optimization

Prove A=A* where $Ax = \sum_{n}a_{n}\langle x, u_n \rangle u_n =0 $ iff $a_{n} \in \mathbb{R}$

If $V=W$ (vector spaces), then $\det A^{\dagger}=\det A$, where $A$ is a map and $A^{\dagger}$ is its adjoint

For $T\colon V\to V$ every anti self-adjoint $T$ is orthogonally diagonalizable.

Exercise with normal operators.

Does the derivative operator have an adjoint?

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