List questions from adjoint-operators

Published on 24 Feb 2022 - 14:08

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$TT^* = T^*T$ iff $T = A + iB$ with $A, B$ self-adjoint

Published on 27 Mar 2026 - 10:09

153

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Computing the Adjoint of an Operator

Published on 29 Mar 2026 - 9:18

144

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Derivation of adjoint poisson equation with convective boundary condition

Published on 27 Mar 2026 - 18:09

82

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if range $A^* \cap$ range $B^* = 0$ and $B^*A = 0$ then $\text{rank }(A + B) = \text{rank }A + \text{rank }B$

Published on 12 Mar 2022 - 6:46

280

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Solving Simple PDE by Green's Function, Very Confused By Some Mistake

Published on 27 Mar 2026 - 11:46

53

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For $ [T]_{\mathcal{B}}=\left(\begin{array}{lll} a & & \\ & b & \\ & & c \end{array}\right) $, Prove that $T$ is self-adjoint if and only if $a=b$.

Published on 16 Mar 2022 - 18:33

326

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The linear operator $L:V\to V$ is defined by $L(p(x)) = -6p'(x) - 6p(x)$. How can I find the adjoint $L^{*}$ of $L$?

Published on 22 Mar 2022 - 20:51

47

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How to find adjoint?

Published on 23 Mar 2022 - 5:04

65

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Finding adjoint and norm of projection

Published on 23 Mar 2022 - 7:32

133

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How to prove the adjoint of this operator is the $-T-I$

Published on 24 Mar 2022 - 3:10

115

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Proving Theorem 10.3 on Steven Roman's Advanced Linear Algebra

Published on 26 Mar 2022 - 7:38

38

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Is my proof that $\text{rank}(A + B) = \text{rank } A + \text{rank }B$ correct?

Published on 29 Mar 2022 - 16:59

50

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Computing adjoint of linear operator

Published on 31 Mar 2022 - 20:32

127

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Differential of a function in the inner product does not have an adjoint

Published on 04 Apr 2022 - 4:26

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example in spectral theory

$TT^* = T^*T$ iff $T = A + iB$ with $A, B$ self-adjoint

Computing the Adjoint of an Operator

Derivation of adjoint poisson equation with convective boundary condition

if range $A^* \cap$ range $B^* = 0$ and $B^*A = 0$ then $\text{rank }(A + B) = \text{rank }A + \text{rank }B$

Solving Simple PDE by Green's Function, Very Confused By Some Mistake

For $ [T]_{\mathcal{B}}=\left(\begin{array}{lll} a & & \\ & b & \\ & & c \end{array}\right) $, Prove that $T$ is self-adjoint if and only if $a=b$.

The linear operator $L:V\to V$ is defined by $L(p(x)) = -6p'(x) - 6p(x)$. How can I find the adjoint $L^{*}$ of $L$?

How to find adjoint?

Finding adjoint and norm of projection

How to prove the adjoint of this operator is the $-T-I$

Proving Theorem 10.3 on Steven Roman's Advanced Linear Algebra

Is my proof that $\text{rank}(A + B) = \text{rank } A + \text{rank }B$ correct?

Computing adjoint of linear operator

Differential of a function in the inner product does not have an adjoint

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