List questions from unbounded-operators

Published on 19 May 2022 - 7:54

127

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Sum of adjoints of two operators is a subset of adjoint of sums.

Published on 20 May 2022 - 7:25

52

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Prove the operator defined by $Lf=x^2f(x)$ is not bounded.

Published on 21 May 2022 - 7:30

14

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Does $(u \delta u^{})^{it} = u \delta^{it} u^{}$ hold, where $\delta$ is a (positive) self-adjoint unbounded operator and $u$ unitary?

Published on 24 Feb 2026 - 13:47

108

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Example 4.8 ; functional analysis book by S.kesavan

Published on 28 Mar 2026 - 8:48

37

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What is the norm of $T$ : $L^1$ (($-1$,$1$) , $\mathbb{R}$) $\rightarrow$ $\mathbb{R}$

Published on 09 Jun 2022 - 13:36

101

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Why is it that a closed unbounded operator can never have a closed domain?

Published on 22 Jun 2022 - 17:24

38

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Natural Powers of Unbounded Operators densely defined

Published on 25 Jun 2022 - 15:56

99

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Bounded Operator with unbounded Inverse

Published on 26 Jun 2022 - 15:32

176

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What are simple conditions for the adjoint of a positive, unbounded, densely defined operator on a Hilbert space to be positive?

Published on 27 Jun 2022 - 8:47

152

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Unbounded closed operator

Published on 26 Mar 2026 - 3:09

118

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Prove this Fourier series converges to a continuous function

Published on 13 Jul 2022 - 9:20

487

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Venn diagram for basic types of operators

Published on 14 Jul 2022 - 18:30

111

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Is $T$ self-adjoint if it is closed, symmetric and $\ker T=\ker T^*$?

Published on 05 Aug 2022 - 20:39

72

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Prove the graph of this operator is closed

Published on 06 Aug 2022 - 12:58

List Question

Multiplication operator is densely defined.

Sum of adjoints of two operators is a subset of adjoint of sums.

Prove the operator defined by $Lf=x^2f(x)$ is not bounded.

Does $(u \delta u^{})^{it} = u \delta^{it} u^{}$ hold, where $\delta$ is a (positive) self-adjoint unbounded operator and $u$ unitary?

Example 4.8 ; functional analysis book by S.kesavan

What is the norm of $T$ : $L^1$ (($-1$,$1$) , $\mathbb{R}$) $\rightarrow$ $\mathbb{R}$

Why is it that a closed unbounded operator can never have a closed domain?

Natural Powers of Unbounded Operators densely defined

Bounded Operator with unbounded Inverse

What are simple conditions for the adjoint of a positive, unbounded, densely defined operator on a Hilbert space to be positive?

Unbounded closed operator

Prove this Fourier series converges to a continuous function

Venn diagram for basic types of operators

Is $T$ self-adjoint if it is closed, symmetric and $\ker T=\ker T^*$?

Prove the graph of this operator is closed

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