List questions from adjoint-operators

Published on 10 May 2026 - 23:55

38

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Self-adjoint operator or not?

Published on 09 Apr 2026 - 4:46

220

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Specific non self-adjoint operator for $\mathcal{P}^2$

Published on 12 Apr 2026 - 7:24

316

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Trivial Kernel and density of range

Published on 10 Apr 2026 - 10:28

274

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$<L(v), v> = 0 $ for all $v$ if and only if $L + L* = 0$.

Published on 16 Apr 2026 - 8:50

2.7k

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Is this differential operator Hermitian?

Published on 10 May 2026 - 20:11

769

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If U and T are normal operator which commute with each other then U+T is normal

Published on 14 Apr 2026 - 7:43

220

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$Av=\lambda v \Rightarrow A^*v=\bar \lambda v$ (general case)

Published on 13 Apr 2026 - 16:53

55

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Find $T^*(x,y)$ with the given inner product

Published on 16 Apr 2026 - 6:08

213

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Linear Map Adjoint or Inverse?

Published on 16 Apr 2026 - 6:35

115

Views

Proof regarding self-adjoint linear operators.

Published on 08 Apr 2026 - 23:51

340

Views

Orthogonal complement of a vector space

Published on 13 Apr 2026 - 10:16

806

Views

Relation between range of adjoint of T and kernal of T.

Published on 14 Apr 2026 - 2:44

250

Views

Normal operator in Hilbert Complex space share an eigenvalue.

Published on 12 Apr 2026 - 10:13

334

Views

Eigenbases in the infinite dimensional case

Published on 14 Apr 2026 - 10:36

List Question

Kernel of an operator

Self-adjoint operator or not?

Specific non self-adjoint operator for $\mathcal{P}^2$

Trivial Kernel and density of range

$<L(v), v> = 0 $ for all $v$ if and only if $L + L* = 0$.

Is this differential operator Hermitian?

If U and T are normal operator which commute with each other then U+T is normal

$Av=\lambda v \Rightarrow A^*v=\bar \lambda v$ (general case)

Find $T^*(x,y)$ with the given inner product

Linear Map Adjoint or Inverse?

Proof regarding self-adjoint linear operators.

Orthogonal complement of a vector space

Relation between range of adjoint of T and kernal of T.

Normal operator in Hilbert Complex space share an eigenvalue.

Eigenbases in the infinite dimensional case

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