List questions from adjoint-operators

Published on 29 Mar 2026 - 10:29

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Proof of "$\operatorname{Im}A^*$ equals orthogonal complement of $\operatorname{Ker}A$"

Published on 14 Apr 2017 - 16:35

240

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Hilbert Spaces: Question on a lemma about adjoint operators

Published on 17 Apr 2017 - 10:52

57

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Prove that for a bounded operator $A$, then $\sum_{n=1}^\infty |a_{mn}|^2 \leq \|A\|^2$.

Published on 20 Apr 2017 - 9:59

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Hermitian matrices in an arbitrary inner product

Published on 29 Apr 2017 - 3:32

59

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Question on whether an operator is bounded (Hilbert space)

Published on 30 Apr 2017 - 15:43

24

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How can we show that $\langle (LQ)(LQ)^\ast h,g\rangle_H=\sum_{n\in\mathbb N}\langle h,LQf_n\rangle_H\langle g,LQf_n\rangle_H$?

Published on 30 Apr 2017 - 23:15

59

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What are weakest conditions on a vector space that allow defining dual (adjoint) operator?

Published on 27 Mar 2026 - 8:42

905

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Derivation of adjoint equation for the one-dimensional convection-diffusion equation

Published on 05 May 2017 - 14:17

1k

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Adjoint of the boundary trace operator?

Published on 05 May 2017 - 17:31

61

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Extension of Operator Related to Extension of Adjoint

Published on 06 May 2017 - 1:33

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Derivation of the adjoint Poisson equation

Published on 27 Mar 2026 - 4:56

147

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Find the adjoint of T

Published on 16 May 2017 - 19:35

684

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Finding dimension of range of TT, where T is the adjoint

Published on 16 May 2017 - 20:58

217

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Showing there exists a vector u such that $T^T(u) = T^(v)$?

Published on 18 May 2017 - 4:11

List Question

Characteristics of an Operator (T) on a Complex Inner-Product Space with $T^* = -T$

Proof of "$\operatorname{Im}A^*$ equals orthogonal complement of $\operatorname{Ker}A$"

Hilbert Spaces: Question on a lemma about adjoint operators

Prove that for a bounded operator $A$, then $\sum_{n=1}^\infty |a_{mn}|^2 \leq \|A\|^2$.

Hermitian matrices in an arbitrary inner product

Question on whether an operator is bounded (Hilbert space)

How can we show that $\langle (LQ)(LQ)^\ast h,g\rangle_H=\sum_{n\in\mathbb N}\langle h,LQf_n\rangle_H\langle g,LQf_n\rangle_H$?

What are weakest conditions on a vector space that allow defining dual (adjoint) operator?

Derivation of adjoint equation for the one-dimensional convection-diffusion equation

Adjoint of the boundary trace operator?

Extension of Operator Related to Extension of Adjoint

Derivation of the adjoint Poisson equation

Find the adjoint of T

Finding dimension of range of TT, where T is the adjoint

Showing there exists a vector u such that $T^T(u) = T^(v)$?

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