List questions from adjoint-operators

Published on 26 Oct 2023 - 5:48

63

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Confusion about adjoint of $\nabla$

Published on 26 Oct 2023 - 13:09

101

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Determining whether an operator is trace-class

Published on 04 Nov 2023 - 9:07

34

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Brezis' exercise 8.17: the domain of $A^*$ where $A u=u''$

Published on 25 Mar 2026 - 20:15

37

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Brezis' exercise 8.17: the domain of $A^*$ where $A u=u''-xu'$

Published on 25 Mar 2026 - 20:14

29

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Brezis' exercise 8.17: the kernel of $A^*$ where $A u=u''-xu'$

Published on 25 Mar 2026 - 21:48

73

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If $A\in B(H)$ commutes with all self-adjoint operators, then $A=\lambda I$ for some $\lambda\in\mathbb{R}$

Published on 26 Mar 2026 - 9:39

118

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Domain of sum of momentum operators

Published on 25 Mar 2026 - 21:49

38

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Adjoint, self-adjoint, Which is the proper noun?

Published on 26 Mar 2026 - 7:57

54

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How to calculate the adjoint operator of the projected intensity differential (based on the Fresnel propagator)?

Published on 25 Mar 2026 - 19:09

60

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Why does this prove that the span of the eigenvectors is dense in $\text{Im } T$?

Published on 21 Jan 2024 - 21:20

33

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Adjoint of an operator on scaled Euclidean spaces

Published on 23 Jan 2024 - 17:43

96

Views

If $\langle Lx,y\rangle = \langle x,Ry \rangle$ then $L$ is bounded

Published on 05 Feb 2024 - 17:53

28

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Is there a name for this bilinear form which compares a linear operator with its adjoint?

Published on 06 Feb 2024 - 20:28

39

Views

Adjoint operator and random variable

Published on 26 Mar 2026 - 8:04

List Question

Surjectivity and injectivity of Hilbert space operators

Confusion about adjoint of $\nabla$

Determining whether an operator is trace-class

Brezis' exercise 8.17: the domain of $A^*$ where $A u=u''$

Brezis' exercise 8.17: the domain of $A^*$ where $A u=u''-xu'$

Brezis' exercise 8.17: the kernel of $A^*$ where $A u=u''-xu'$

If $A\in B(H)$ commutes with all self-adjoint operators, then $A=\lambda I$ for some $\lambda\in\mathbb{R}$

Domain of sum of momentum operators

Adjoint, self-adjoint, Which is the proper noun?

How to calculate the adjoint operator of the projected intensity differential (based on the Fresnel propagator)?

Why does this prove that the span of the eigenvectors is dense in $\text{Im } T$?

Adjoint of an operator on scaled Euclidean spaces

If $\langle Lx,y\rangle = \langle x,Ry \rangle$ then $L$ is bounded

Is there a name for this bilinear form which compares a linear operator with its adjoint?

Adjoint operator and random variable

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