List questions from compact-operators

Published on 08 Apr 2026 - 17:34

236

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Cauchy singular integral operator

Published on 10 May 2026 - 14:45

444

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What is a predual of the Banach space of compact operators on $\ell^2$?

Published on 11 Apr 2026 - 15:09

73

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If a series converges, does it converge with additional log term multiplied?

Published on 14 Apr 2026 - 12:55

82

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Show this integral operator is compact for various values of $\alpha$

Published on 12 Apr 2026 - 15:22

305

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Compact operators on $L^2(G)$ as a reduced cross product of $C_0(G)$ and $G$.

Published on 11 May 2026 - 4:23

327

Views

Compactness of an operator involving the resolvent of laplacian

Published on 11 Apr 2026 - 14:07

456

Views

Canonical inclusion $L^q(0,1) \to L^p(0,1)$ is compact?

Published on 14 Apr 2026 - 17:11

1k

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Proof of Weierstrass' second theorem using the Fejér operator

Published on 09 Apr 2026 - 4:39

1.1k

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Show $T: C([0,1]) \rightarrow C([0,1])$ is compact

Published on 19 Apr 2026 - 1:04

82

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Space of bounded functions vs. bounded space of functions.

Published on 16 Apr 2026 - 13:59

1.6k

Views

Rellich's theorem for Sobolev space on the torus

Published on 14 Apr 2026 - 6:54

153

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Prove that operator is completely continuous

Published on 10 Apr 2026 - 11:03

218

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Sufficient condition for an operator to be compact in Hilbert space of holomorphic function with respect to Gaussion weight (Fock space).

Published on 11 Apr 2026 - 1:35

1.9k

Views

Compactness of the identity operator

Published on 11 Apr 2026 - 13:45

List Question

Extending a compact operator to the entire Hilbert space

Cauchy singular integral operator

What is a predual of the Banach space of compact operators on $\ell^2$?

If a series converges, does it converge with additional log term multiplied?

Show this integral operator is compact for various values of $\alpha$

Compact operators on $L^2(G)$ as a reduced cross product of $C_0(G)$ and $G$.

Compactness of an operator involving the resolvent of laplacian

Canonical inclusion $L^q(0,1) \to L^p(0,1)$ is compact?

Proof of Weierstrass' second theorem using the Fejér operator

Show $T: C([0,1]) \rightarrow C([0,1])$ is compact

Space of bounded functions vs. bounded space of functions.

Rellich's theorem for Sobolev space on the torus

Prove that operator is completely continuous

Sufficient condition for an operator to be compact in Hilbert space of holomorphic function with respect to Gaussion weight (Fock space).

Compactness of the identity operator

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