List questions from adjoint-operators

Published on 28 Feb 2023 - 10:15

36

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Proving Equality Regarding the Adjoint of Bounded Linear Operator

Published on 28 Feb 2023 - 11:28

213

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Existence and uniqueness of formal adjoint operator on manifolds

Published on 01 Mar 2023 - 19:24

92

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Question about projections acting on dual space

Published on 27 Mar 2026 - 16:38

226

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Multiplication operator is self-adjoint on $L^2(\mathbb{R})$

Published on 05 Mar 2023 - 3:49

173

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Show that the set is the convex hull of the spectrum of $T$.

Published on 12 Mar 2023 - 3:12

389

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Show that for any $S$, if $ST=TS$, then $ST^=T^S$.

Published on 12 Mar 2023 - 4:14

86

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Prove the following: If $T \in \mathcal{L}(V)$, and $v$ is an eigenvector of $T$, then $\overline{v}$ is an eigenvector of $T^*$.

Published on 13 Mar 2023 - 22:13

91

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Why a matrix has to be invertible for $\operatorname{adj} A^T=(\operatorname{adj}A)^T$ to be true?

Published on 26 Mar 2026 - 17:33

23

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Bound on spectral radii

Published on 26 Mar 2026 - 12:43

19

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If the operator $U^2D_2+UD_1+D_1U^+D_2U^{2}$ is compact then $D_1$ and $D_2$ are compact

Published on 28 Mar 2023 - 12:13

43

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Duals In The Sense Of Riesz Representation Theorem

Published on 25 Mar 2026 - 13:55

102

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Proving that normal operators can be diagonalized

Published on 02 Apr 2023 - 2:10

121

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Norm of the adjoint operator of an operator of the form $\int_{0}^{1} k(t,s)f(s)ds$

Published on 07 Apr 2023 - 7:19

79

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Sturm-Liouville theory and adjoint operator

Published on 09 Apr 2023 - 8:50

List Question

The proof of $||T|| = \sup\{|(T(f),f)| \;|\; ||f|| = 1 \}$ when $T = T^*$

Proving Equality Regarding the Adjoint of Bounded Linear Operator

Existence and uniqueness of formal adjoint operator on manifolds

Question about projections acting on dual space

Multiplication operator is self-adjoint on $L^2(\mathbb{R})$

Show that the set is the convex hull of the spectrum of $T$.

Show that for any $S$, if $ST=TS$, then $ST^=T^S$.

Prove the following: If $T \in \mathcal{L}(V)$, and $v$ is an eigenvector of $T$, then $\overline{v}$ is an eigenvector of $T^*$.

Why a matrix has to be invertible for $\operatorname{adj} A^T=(\operatorname{adj}A)^T$ to be true?

Bound on spectral radii

If the operator $U^2D_2+UD_1+D_1U^+D_2U^{2}$ is compact then $D_1$ and $D_2$ are compact

Duals In The Sense Of Riesz Representation Theorem

Proving that normal operators can be diagonalized

Norm of the adjoint operator of an operator of the form $\int_{0}^{1} k(t,s)f(s)ds$

Sturm-Liouville theory and adjoint operator

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