List questions from compact-operators

Published on 18 Dec 2020 - 23:02

102

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Compactness of $ Lu = -\partial_x^2 u + u $

Published on 19 Dec 2020 - 10:42

105

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Compact operator, exercise 4.22 in Rudin's functional analysis

Published on 24 Dec 2020 - 9:12

310

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Compactness of $K(S)$, if $K$ is an infinite-dimensional compact operator in Hilbert space

Published on 24 Dec 2020 - 15:15

83

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Is Biharmonic Operator m-accretive?

Published on 30 Mar 2026 - 15:36

395

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$T$ is compact iff every closed subspace in $Ran(T)$ is finite dimensional.

Published on 26 Dec 2020 - 10:52

255

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Spectrum and compactness of $L^1$ operator

Published on 04 Jan 2021 - 18:07

134

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If a linear operator maps to open unit ball to a relatively compact set, does it need to be bounded?

Published on 06 Jan 2021 - 14:47

250

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Determining whether the set of eigenvectors form an orthonormal basis

Published on 07 Jan 2021 - 5:44

110

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Idea of compact operators

Published on 17 Jan 2021 - 21:12

126

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Compact hermitian operator and eigenvalues

Published on 26 Mar 2026 - 19:04

66

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No $T\in\mathcal{K}(X,Y)$ is onto

Published on 19 Jan 2021 - 10:44

96

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Justify that T is compact

Published on 19 Jan 2021 - 11:41

344

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Proof on sequence of finite-rank operators

Published on 20 Jan 2021 - 12:22

89

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Exercise on bounded operator on L2 space

Published on 21 Jan 2021 - 14:52

List Question

Compact operator $T_{A,B}$

Compactness of $ Lu = -\partial_x^2 u + u $

Compact operator, exercise 4.22 in Rudin's functional analysis

Compactness of $K(S)$, if $K$ is an infinite-dimensional compact operator in Hilbert space

Is Biharmonic Operator m-accretive?

$T$ is compact iff every closed subspace in $Ran(T)$ is finite dimensional.

Spectrum and compactness of $L^1$ operator

If a linear operator maps to open unit ball to a relatively compact set, does it need to be bounded?

Determining whether the set of eigenvectors form an orthonormal basis

Idea of compact operators

Compact hermitian operator and eigenvalues

No $T\in\mathcal{K}(X,Y)$ is onto

Justify that T is compact

Proof on sequence of finite-rank operators

Exercise on bounded operator on L2 space

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