List questions from adjoint-operators

Published on 24 Sep 2015 - 8:30

57

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If A is included in B, what can I say about their adjoint?

Published on 04 Oct 2015 - 14:47

260

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Find the inverse of the $n\times n$ matrix whose entries are given by $a_{ij} = \max (i,j)$

Published on 06 Oct 2015 - 14:17

88

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An identity regarding linear operators and their adjoint between Hilbert spaces

Published on 02 Mar 2026 - 7:44

1.2k

Views

Why is $\sqrt{T^*T}$ self-adjoint?

Published on 04 Mar 2026 - 9:54

1.3k

Views

Characteristic polynomial of adjoint

Published on 09 Mar 2026 - 5:52

2k

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Why do we need an orthonormal basis to represent the adjoint of the operator?

Published on 19 Mar 2026 - 1:20

148

Views

Is it true you use adjoint for linear transforms while you use transpose for matrix representation of linear transforms?

Published on 04 Mar 2026 - 2:33

2k

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Adjoint representation - A working example

Published on 01 Mar 2026 - 12:34

4.3k

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$T$ is surjective if and only if the adjoint $T^*$ is an isomorphism (onto its image)

Published on 23 Mar 2026 - 3:51

398

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Determining adjoint operator between spaces with different inner products

Published on 28 Feb 2026 - 17:45

1.2k

Views

Suppose that $T$ is a normal operator on $V$. Show that $\|T(v+w)\|=10$.

Published on 01 Mar 2026 - 14:01

765

Views

Operator $T^*$ surjective iff $T$ topologically injective

Published on 01 Mar 2026 - 17:49

407

Views

Properties of adjoint matrix in a finite dimensional inner product space

Published on 18 Nov 2015 - 0:25

753

Views

Adjoint of a matrix vs adjoint operator

Published on 23 Nov 2015 - 23:10

List Question

Domain of double adjoint

If A is included in B, what can I say about their adjoint?

Find the inverse of the $n\times n$ matrix whose entries are given by $a_{ij} = \max (i,j)$

An identity regarding linear operators and their adjoint between Hilbert spaces

Why is $\sqrt{T^*T}$ self-adjoint?

Characteristic polynomial of adjoint

Why do we need an orthonormal basis to represent the adjoint of the operator?

Is it true you use adjoint for linear transforms while you use transpose for matrix representation of linear transforms?

Adjoint representation - A working example

$T$ is surjective if and only if the adjoint $T^*$ is an isomorphism (onto its image)

Determining adjoint operator between spaces with different inner products

Suppose that $T$ is a normal operator on $V$. Show that $\|T(v+w)\|=10$.

Operator $T^*$ surjective iff $T$ topologically injective

Properties of adjoint matrix in a finite dimensional inner product space

Adjoint of a matrix vs adjoint operator

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