List questions from adjoint-operators

Published on 14 Sep 2014 - 17:31

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$AB*\text{adjoint}(BA)=I$

Published on 18 Sep 2014 - 16:55

237

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What is the map $\Sigma K(G,n) \to K(G,n+1)$?

Published on 25 Mar 2026 - 14:27

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Let A be an invertible nxn matrix. Prove that $\det(\operatorname{adj}(A^{-1})) = (\det(A))^{1-n}$

Published on 11 Oct 2014 - 20:43

3.1k

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Let $A$ be a $3\times3$ matrix. Given $\mathrm{adj}(A)$, find $\det(A)$.

Published on 12 Oct 2014 - 0:52

213

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Using the property $A\mathrm{adj}(A) = \det(A)I_n$, prove that $\det(\mathrm{adj}(A^3)) = (\det(A))^{3n-3}$

Published on 12 Oct 2014 - 2:07

3.5k

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Connection between adjoint of a matrix and adjoint of an operator

Published on 22 Oct 2014 - 4:09

2k

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Adjoint of Complex Matrix

Published on 03 Nov 2014 - 13:30

1.6k

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Connection between categorical notion of adjunction and dual space/adjoint in vector spaces

Published on 25 Mar 2026 - 14:27

546

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Linear self-adjoint operator

Published on 10 Nov 2014 - 13:22

131

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Diagonalisability of Self-Adjoint Operators for Non-Symmetric Metrics

Published on 25 Mar 2026 - 22:04

278

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Existence Adjoint Operator: Boundedness?

Published on 14 Nov 2014 - 16:22

2.7k

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If a linear operator has an adjoint operator, it is bounded

Published on 22 Nov 2014 - 22:31

800

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Product of two positive compact, self adjoint operators

Published on 26 Mar 2026 - 16:05

244

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Show $\sigma(T)=\sigma{(\overline{T^{*}})}$

Published on 26 Nov 2014 - 19:00

List Question

Compact Operator on Hilbert Space

$AB*\text{adjoint}(BA)=I$

What is the map $\Sigma K(G,n) \to K(G,n+1)$?

Let A be an invertible nxn matrix. Prove that $\det(\operatorname{adj}(A^{-1})) = (\det(A))^{1-n}$

Let $A$ be a $3\times3$ matrix. Given $\mathrm{adj}(A)$, find $\det(A)$.

Using the property $A\mathrm{adj}(A) = \det(A)I_n$, prove that $\det(\mathrm{adj}(A^3)) = (\det(A))^{3n-3}$

Connection between adjoint of a matrix and adjoint of an operator

Adjoint of Complex Matrix

Connection between categorical notion of adjunction and dual space/adjoint in vector spaces

Linear self-adjoint operator

Diagonalisability of Self-Adjoint Operators for Non-Symmetric Metrics

Existence Adjoint Operator: Boundedness?

If a linear operator has an adjoint operator, it is bounded

Product of two positive compact, self adjoint operators

Show $\sigma(T)=\sigma{(\overline{T^{*}})}$

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