List questions from compact-operators

Published on 25 Mar 2026 - 23:51

306

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On the spectral decomposition for compact operators in a Banach space

Published on 14 Apr 2026 - 14:17

74

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What if: Compact operators defined as limits of nets of finite-rank operators instead of norm closure?

Published on 09 Apr 2026 - 20:34

341

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Basic question about convergence of top and penultimate eigenvalues of a sequence of operators.

Published on 16 May 2026 - 11:33

573

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About Aubin-Lions Lemma

Published on 13 Apr 2026 - 11:32

257

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Conditions for compactness of operator

Published on 14 May 2026 - 18:46

147

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Prove that $T$ is a compact linear operator.

Published on 11 Apr 2026 - 10:35

47

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Prove that $A$ is a compact linear operator.

Published on 09 Apr 2026 - 4:04

50

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Example of a "weak" Compact operator

Published on 15 May 2026 - 6:52

327

Views

Separability of kernel of compact operator

Published on 10 Apr 2026 - 16:21

241

Views

Compact and self-adjoint operator in $L^2$, and its eigenvalues

Published on 26 Mar 2026 - 14:19

201

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compact operator between $L^{p}(\mu)$ and $C(X)$

Published on 11 Apr 2026 - 18:21

75

Views

In Banach space over $\mathbb{C}$ maximal chain in the collection of all-invariant-subspaces for-compact-operator

Published on 11 Apr 2026 - 18:51

53

Views

Dimension of $B(H)/K(H)$

Published on 15 Apr 2026 - 8:52

167

Views

Volterra integral operator with operator-valued kernel

Published on 10 Apr 2026 - 4:28

List Question

Invertibility of any bounded operator $R$ st $\|I-R\|<1$

On the spectral decomposition for compact operators in a Banach space

What if: Compact operators defined as limits of nets of finite-rank operators instead of norm closure?

Basic question about convergence of top and penultimate eigenvalues of a sequence of operators.

About Aubin-Lions Lemma

Conditions for compactness of operator

Prove that $T$ is a compact linear operator.

Prove that $A$ is a compact linear operator.

Example of a "weak" Compact operator

Separability of kernel of compact operator

Compact and self-adjoint operator in $L^2$, and its eigenvalues

compact operator between $L^{p}(\mu)$ and $C(X)$

In Banach space over $\mathbb{C}$ maximal chain in the collection of all-invariant-subspaces for-compact-operator

Dimension of $B(H)/K(H)$

Volterra integral operator with operator-valued kernel

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