List questions from adjoint-operators

Published on 28 Apr 2021 - 19:54

46

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Doubt in computation of inner product space.

Published on 03 May 2021 - 9:09

216

Views

What's the adjoint of a translation operator on a Hilbert space?

Published on 04 May 2021 - 7:37

319

Views

Why if T is normal linear map, then image of T if the same as image of T*?

Published on 25 Mar 2026 - 23:39

57

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Eigenvalues of a linear operator $A$, knowing all the traces of $A^n$.

Published on 12 May 2021 - 22:10

40

Views

Norm of $\hat{A}\psi$ in terms of norm of $\psi$ - confused in derivation

Published on 13 May 2021 - 8:57

880

Views

U is T-invariant if and only if orthogonal complement of U is T*-Invariant

Published on 26 Mar 2026 - 22:58

528

Views

Extending a function T from a subspace X of a Hilbert space H to H

Published on 19 May 2021 - 12:39

1.1k

Views

Consider the boundary value problem $-u''=x, u(0)=u(1)=0$. Find solution, write down a minimization problem and the value of the quadratic functional

Published on 20 May 2021 - 14:45

97

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Show $M$ is complemented.

Published on 23 May 2021 - 0:44

519

Views

Matrix representation of adjoint & co-adjoint orbit of $so(3)$

Published on 25 Mar 2026 - 20:50

641

Views

Poisson bracket and co-adjoint orbits for $sl(2)$

Published on 25 Mar 2026 - 15:58

18

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Adjoint of the operator $(Mf)(x, \omega)=e^{3x/2}f(e^x\omega)$

Published on 05 Jun 2021 - 16:35

38

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For an unbounded operator A, when is $D(A^{-1}) = D(A)'$? Is there a canonical isomorphism?

Published on 28 Mar 2026 - 23:58

51

Views

$D^*$ invertible iff $D$ invertible but with unexpected inner products.

Published on 11 Jun 2021 - 10:46

List Question

Some Geometric intuition behind self-adjoint operators

Doubt in computation of inner product space.

What's the adjoint of a translation operator on a Hilbert space?

Why if T is normal linear map, then image of T if the same as image of T*?

Eigenvalues of a linear operator $A$, knowing all the traces of $A^n$.

Norm of $\hat{A}\psi$ in terms of norm of $\psi$ - confused in derivation

U is T-invariant if and only if orthogonal complement of U is T*-Invariant

Extending a function T from a subspace X of a Hilbert space H to H

Consider the boundary value problem $-u''=x, u(0)=u(1)=0$. Find solution, write down a minimization problem and the value of the quadratic functional

Show $M$ is complemented.

Matrix representation of adjoint & co-adjoint orbit of $so(3)$

Poisson bracket and co-adjoint orbits for $sl(2)$

Adjoint of the operator $(Mf)(x, \omega)=e^{3x/2}f(e^x\omega)$

For an unbounded operator A, when is $D(A^{-1}) = D(A)'$? Is there a canonical isomorphism?

$D^*$ invertible iff $D$ invertible but with unexpected inner products.

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