List questions from adjoint-operators

Published on 10 Apr 2026 - 20:36

435

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Adjoint of projection onto direct sum of Hilbert spaces

Published on 10 May 2026 - 13:50

1.1k

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Why does dim Range T* = dim Range T?

Published on 14 Apr 2026 - 7:16

59

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Calculating $T^*T$ when $T$ have direct sum codomain

Published on 10 Apr 2026 - 16:32

502

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Adjoint of the diagonal operator

Published on 10 Apr 2026 - 17:52

3k

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adjoint operator of convolution operator

Published on 10 Apr 2026 - 4:55

79

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Question about the norm of a bounded linear operator and its product with its adjoint.

Published on 09 Apr 2026 - 8:58

285

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Determinant's properties and self adjoint operator

Published on 16 Apr 2026 - 21:59

71

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If $\Phi$ is bounded from $\mathcal RQ^{1/2}$ to $H$, are we able to show that $Q^{1/2}\Phi^\ast=(\Phi Q^{1/2})^\ast$?

Published on 17 Apr 2026 - 2:19

45

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For two closed operators $A,B$, can we say that $P_i\uparrow 1$ and $(A-B)P_i =0$ implies $A-B$?

Published on 15 Apr 2026 - 21:18

55

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How does adjoint operator show up in FOIL’ing an inner product?

Published on 10 May 2026 - 12:33

42

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Prove or disprove that $g\in L(V,V)$ exists with $f=g\circ g^{ad}$.

Published on 29 Apr 2026 - 12:52

124

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Adjoints : the mysterious linear operator!

Published on 08 Apr 2026 - 20:04

144

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Symmetric operator : Is it $(\overline{T})^{}= \overline{T^{}}$ true?

Published on 15 Apr 2026 - 10:18

257

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Eigenvectors of self-adjoint operators on a Hilbert space.

Published on 10 Apr 2026 - 16:12

List Question

General Cauchy-Schwarz for adjoint positive operators

Adjoint of projection onto direct sum of Hilbert spaces

Why does dim Range T* = dim Range T?

Calculating $T^*T$ when $T$ have direct sum codomain

Adjoint of the diagonal operator

adjoint operator of convolution operator

Question about the norm of a bounded linear operator and its product with its adjoint.

Determinant's properties and self adjoint operator

If $\Phi$ is bounded from $\mathcal RQ^{1/2}$ to $H$, are we able to show that $Q^{1/2}\Phi^\ast=(\Phi Q^{1/2})^\ast$?

For two closed operators $A,B$, can we say that $P_i\uparrow 1$ and $(A-B)P_i =0$ implies $A-B$?

How does adjoint operator show up in FOIL’ing an inner product?

Prove or disprove that $g\in L(V,V)$ exists with $f=g\circ g^{ad}$.

Adjoints : the mysterious linear operator!

Symmetric operator : Is it $(\overline{T})^{}= \overline{T^{}}$ true?

Eigenvectors of self-adjoint operators on a Hilbert space.

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