List questions from unbounded-operators

Published on 29 Apr 2026 - 12:52

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Unbounded self-adjoint "nth-root"operators

Published on 29 Apr 2026 - 12:26

655

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Operator with compact resolvent

Published on 29 Apr 2026 - 12:26

108

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Norm and boundedness of a linear operator

Published on 29 Apr 2026 - 12:52

92

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Why are we interested in determining the spectrum?

Published on 10 May 2026 - 14:17

126

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Unbounded Operator in Hilbert Space

Published on 29 Apr 2026 - 12:52

505

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When do two unbounded operators commute ?

Published on 29 Apr 2026 - 12:52

91

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Can I write $\mathcal H: \{c_n\} \to \{(n+\frac{1}{2})c_n\}$ as $H=\operatorname{diag}(\frac{1}{2}, 1 +\frac{1}{2}, 2+\frac{1}{2}, ...) $?

Published on 21 Apr 2026 - 11:59

244

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Unbounded injective linear operator

Published on 10 May 2026 - 11:27

251

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Existence of a function satisfying zero boundary conditions for fractional Laplacian (1d)

Published on 02 May 2026 - 23:50

56

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A problem on dual spaces

Published on 29 Apr 2026 - 12:52

113

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Exercise: Prove this unbounded operator is positive definite

Published on 10 May 2026 - 14:51

246

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If $T:D(T)\longrightarrow H$ is an unbounded operator in a Hilbert Space, is it true that $\sigma_r(T) = \emptyset$?

Published on 10 May 2026 - 12:34

192

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Why need densily definedness for definition of $T^*$ for unbounded operator

Published on 10 May 2026 - 14:56

119

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For $B=\int \lambda d E_\lambda $ and $X$ commutes with every $E_\lambda $, why $BX$ is positive and self-adjoint?

Published on 10 May 2026 - 8:26

List Question

Example of unbounded operator with a given property

Unbounded self-adjoint "nth-root"operators

Operator with compact resolvent

Norm and boundedness of a linear operator

Why are we interested in determining the spectrum?

Unbounded Operator in Hilbert Space

When do two unbounded operators commute ?

Can I write $\mathcal H: \{c_n\} \to \{(n+\frac{1}{2})c_n\}$ as $H=\operatorname{diag}(\frac{1}{2}, 1 +\frac{1}{2}, 2+\frac{1}{2}, ...) $?

Unbounded injective linear operator

Existence of a function satisfying zero boundary conditions for fractional Laplacian (1d)

A problem on dual spaces

Exercise: Prove this unbounded operator is positive definite

If $T:D(T)\longrightarrow H$ is an unbounded operator in a Hilbert Space, is it true that $\sigma_r(T) = \emptyset$?

Why need densily definedness for definition of $T^*$ for unbounded operator

For $B=\int \lambda d E_\lambda $ and $X$ commutes with every $E_\lambda $, why $BX$ is positive and self-adjoint?

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