List questions from compact-operators

Published on 13 Apr 2026 - 19:45

107

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Compactness of a linear function

Published on 10 Apr 2026 - 18:41

192

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Problem on compact operators on Banach space and finite dimensionality

Published on 12 Apr 2026 - 10:27

370

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Useful properties of Hilbert-Schmidt operators?

Published on 10 Apr 2026 - 5:57

530

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Eigenvalues and Eigenfunctions of a Particular Self Adjoint Operator.

Published on 10 May 2026 - 16:10

114

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Singular system of stacked compact operators

Published on 12 Apr 2026 - 3:38

311

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Compact operator from $H^1$ to $L^2$

Published on 11 Apr 2026 - 2:08

149

Views

canonical bases for compact operators

Published on 13 Apr 2026 - 19:18

276

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Non-empty point spectrum of an operator which commutes with a non-quasinilpotent compact operator

Published on 13 Apr 2026 - 2:57

795

Views

Range of $I + A$ where $A$ is a compact operator on a Hilbert space.

Published on 11 Apr 2026 - 12:46

314

Views

An operator is compact only if it maps weakly convergent sequences into strongly convergent sequences.

Published on 14 Apr 2026 - 8:47

130

Views

Perturbation of Normal Operator

Published on 09 Apr 2026 - 18:47

74

Views

Binding compact operator between Banach spaces

Published on 10 Apr 2026 - 2:01

32

Views

$\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+1})$ for some $n_{0}$ $\implies\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+k})$ for all $k\in\mathbb{N}$.

Published on 16 Apr 2026 - 14:59

445

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Compact integral operator on $C([0,1])$

Published on 10 May 2026 - 22:29

List Question

Non-compact operator $T\in\mathcal{B}(\ell_2)$ with $\|Te_n\|\rightarrow 0$

Compactness of a linear function

Problem on compact operators on Banach space and finite dimensionality

Useful properties of Hilbert-Schmidt operators?

Eigenvalues and Eigenfunctions of a Particular Self Adjoint Operator.

Singular system of stacked compact operators

Compact operator from $H^1$ to $L^2$

canonical bases for compact operators

Non-empty point spectrum of an operator which commutes with a non-quasinilpotent compact operator

Range of $I + A$ where $A$ is a compact operator on a Hilbert space.

An operator is compact only if it maps weakly convergent sequences into strongly convergent sequences.

Perturbation of Normal Operator

Binding compact operator between Banach spaces

$\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+1})$ for some $n_{0}$ $\implies\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+k})$ for all $k\in\mathbb{N}$.

Compact integral operator on $C([0,1])$

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