List questions from adjoint-operators

Published on 25 Mar 2026 - 23:34

192

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Hilbert Space & Self Adjoint

Published on 29 May 2017 - 19:06

263

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Proving that the cross product matrix (function) is anti self adjoint

Published on 29 Mar 2026 - 13:46

494

Views

The image of the adjoint operator in a Hilbert space

Published on 05 Jun 2017 - 10:31

64

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Adjoint of the following operator: $B: L_2[0,1]\to L_2[0,1]; B(x(t))=e^tx(\sqrt t)$

Published on 05 Jun 2017 - 21:39

30

Views

Does it make any difference when finding the adjoint operator, from which spaces they act. This example:

Published on 06 Jun 2017 - 20:39

449

Views

The inverse of a compact and self-adjoint operator in Hilbert space is bounded

Published on 10 Jun 2017 - 10:21

520

Views

Slater's condition for closedness of the linear image of a closed convex cone

Published on 13 Jun 2017 - 3:36

47

Views

Adjoint of the linear operator

Published on 13 Jun 2017 - 13:07

145

Views

Show properties of the linear operator $L((a_n)_n)=\left(\frac{1}{n}*a_n\right)_n$

Published on 18 Jun 2017 - 19:12

512

Views

Self-adjoint operator on the space of polynomials

Published on 19 Jun 2017 - 13:47

957

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Gelfand Triples / Rigged Hilbert Spaces - Reflexivity necessary?

Published on 22 Jun 2017 - 15:21

1.4k

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if $T$ is self-adjoint and $T^2=T\Rightarrow T=Id$?

Published on 22 Jun 2017 - 17:13

48

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Basic operations on adjoint operators

Published on 27 Jun 2017 - 14:13

2.2k

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if $T$ is normal then $\text{range} \ T = \text{range} \ T^*$

Published on 28 Jun 2017 - 10:53

List Question

normal operator interchangeable then its adjoint also interchangeable

Hilbert Space & Self Adjoint

Proving that the cross product matrix (function) is anti self adjoint

The image of the adjoint operator in a Hilbert space

Adjoint of the following operator: $B: L_2[0,1]\to L_2[0,1]; B(x(t))=e^tx(\sqrt t)$

Does it make any difference when finding the adjoint operator, from which spaces they act. This example:

The inverse of a compact and self-adjoint operator in Hilbert space is bounded

Slater's condition for closedness of the linear image of a closed convex cone

Adjoint of the linear operator

Show properties of the linear operator $L((a_n)_n)=\left(\frac{1}{n}*a_n\right)_n$

Self-adjoint operator on the space of polynomials

Gelfand Triples / Rigged Hilbert Spaces - Reflexivity necessary?

if $T$ is self-adjoint and $T^2=T\Rightarrow T=Id$?

Basic operations on adjoint operators

if $T$ is normal then $\text{range} \ T = \text{range} \ T^*$

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