List questions from unbounded-operators

Published on 27 Mar 2026 - 7:00

55

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If $\frac{d^2v}{dx^2}=a^{2}v$ and $v=v_0$ at $x=0$ and $v=0$ at $x=l$, then find the value of $v$

Published on 07 Nov 2021 - 8:01

204

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Hahn-Banach Theorem and non bounded linear functionals.

Published on 26 Mar 2026 - 14:33

186

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How can I prove that this Linear operator is closed?

Published on 26 Mar 2026 - 1:28

78

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Define a unbounded functional on C00 ⊂ l 2 . Justify your answer

Published on 28 Nov 2021 - 5:58

240

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Proving this element-wise multiplication operator in $l^2$ is a closed operator, but not continuous.

Published on 04 Dec 2021 - 14:12

94

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Must a "projector" on a normed space be bounded?

Published on 28 Mar 2026 - 20:53

75

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Why is the norm of $x_n(t) = t^n$ for the differentation operator equal to 1?

Published on 27 Mar 2026 - 14:55

174

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Is this operator bounded and closed?

Published on 26 Mar 2026 - 3:10

64

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How are the graphs of $A$ and $A^\star$ related by $I\left[G\left(A^{\star}\right)\right]=G(A)^{\perp}$?

Published on 14 Jan 2022 - 14:26

135

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Symmetric (unbounded) operator has a closed symmetric extension

Published on 15 Jan 2022 - 16:58

55

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About the closedness of a certain product of two closed operators?

Published on 15 Jan 2022 - 19:30

46

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How does $\big ( \|A^{\star} v\| \leq 1 \implies \|v\| \le K \big )$ imply $\exists C, \forall v \in D(A^{\star}):\|v\| \leq C \|A^{\star} v\|$?

Published on 19 Jan 2022 - 14:23

87

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If $A^\star$ is surjective, then there is $c>0$ such that $|u| \leq c |A u|$ for all $u \in D(A)$

Published on 19 Jan 2022 - 19:21

255

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How to prove T is a closable operator

Published on 26 Mar 2026 - 7:57

List Question

second- order parabolic PDE as semigroups ( Evans 7.4.2)

If $\frac{d^2v}{dx^2}=a^{2}v$ and $v=v_0$ at $x=0$ and $v=0$ at $x=l$, then find the value of $v$

Hahn-Banach Theorem and non bounded linear functionals.

How can I prove that this Linear operator is closed?

Define a unbounded functional on C00 ⊂ l 2 . Justify your answer

Proving this element-wise multiplication operator in $l^2$ is a closed operator, but not continuous.

Must a "projector" on a normed space be bounded?

Why is the norm of $x_n(t) = t^n$ for the differentation operator equal to 1?

Is this operator bounded and closed?

How are the graphs of $A$ and $A^\star$ related by $I\left[G\left(A^{\star}\right)\right]=G(A)^{\perp}$?

Symmetric (unbounded) operator has a closed symmetric extension

About the closedness of a certain product of two closed operators?

How does $\big ( \|A^{\star} v\| \leq 1 \implies \|v\| \le K \big )$ imply $\exists C, \forall v \in D(A^{\star}):\|v\| \leq C \|A^{\star} v\|$?

If $A^\star$ is surjective, then there is $c>0$ such that $|u| \leq c |A u|$ for all $u \in D(A)$

How to prove T is a closable operator

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