List questions from compact-operators

Published on 09 Mar 2021 - 5:52

295

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Every bounded linear operator is compact

Published on 09 Mar 2021 - 7:36

491

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Convergence of eigenvalues and spaces of sequence of compact, szmmetric and positive-semi-definite operators in Hilbert spaces.

Published on 29 Mar 2026 - 11:06

127

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A question about a square root of an operator whose spectrum contains negative numbers

Published on 10 Mar 2021 - 4:05

182

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Showing $Kf$ is a compact operator on $L^p(\mu)$

Published on 10 Mar 2021 - 17:58

336

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Reference: Covariance operator is compact

Published on 23 Feb 2026 - 13:40

215

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Compact onto linear operator from Banach space imply space is finite-dimensional

Published on 23 Mar 2021 - 15:30

273

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Spectral theory for compact normal operators.

Published on 25 Mar 2026 - 23:35

112

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Show that $\text {ran} (T + K)$ is closed.

Published on 28 Mar 2021 - 7:43

86

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Norm convergence of a series of operators.

Published on 25 Mar 2026 - 22:04

279

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Is it true that range of $(I + T)$ closed whenever $T$ is compact?

Published on 29 Mar 2021 - 2:31

68

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Neighborhood of bounded linear operator such that all operators are noninvertible

Published on 01 Apr 2021 - 6:47

125

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Doubt regarding Trace class operator

Published on 08 Apr 2021 - 6:30

129

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Does a compact linear operator on an infinite dimensional Banach space have a bounded inverse?

Published on 09 Apr 2021 - 13:44

97

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Is the inverse of a restricted compact operator unbounded?

Published on 29 Mar 2026 - 6:55

List Question

A problem from Functional Analysis

Every bounded linear operator is compact

Convergence of eigenvalues and spaces of sequence of compact, szmmetric and positive-semi-definite operators in Hilbert spaces.

A question about a square root of an operator whose spectrum contains negative numbers

Showing $Kf$ is a compact operator on $L^p(\mu)$

Reference: Covariance operator is compact

Compact onto linear operator from Banach space imply space is finite-dimensional

Spectral theory for compact normal operators.

Show that $\text {ran} (T + K)$ is closed.

Norm convergence of a series of operators.

Is it true that range of $(I + T)$ closed whenever $T$ is compact?

Neighborhood of bounded linear operator such that all operators are noninvertible

Doubt regarding Trace class operator

Does a compact linear operator on an infinite dimensional Banach space have a bounded inverse?

Is the inverse of a restricted compact operator unbounded?

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