List questions from compact-operators

Published on 12 Apr 2026 - 14:12

399

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Characterization of compact operators by their spectra

Published on 11 Apr 2026 - 19:35

706

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Continuous linear operator that is NOT compact.

Published on 09 Apr 2026 - 20:18

373

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Operator linear and continuous, show that it is compact

Published on 08 Apr 2026 - 20:51

621

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$Im(K)\subset Y$ closed, infinite-dimensional: $K:X\to Y$ is not a compact operator

Published on 16 Apr 2026 - 16:50

53

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Sequence of compact operators that converges to a bounded linear operator $K_{\lambda}$

Published on 12 Apr 2026 - 8:56

124

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I don't see why $W^{1, 2}(\partial D)$ being compactly embedded in $L^2(\partial D)$ lets us show an operator is Fredholm of index zero.

Published on 16 Apr 2026 - 2:02

849

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Exercise: The range of Compact Operators

Published on 11 Apr 2026 - 16:06

318

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$L^2$ operator norm and convergence

Published on 14 Apr 2026 - 14:50

589

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Show that $\int_0^x f(t)dt$ is compact and injective

Published on 14 Apr 2026 - 4:09

342

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Is $(Tf)(x):=\int_0^x f(t)dt$ defined on $L^2([0,1])$ a finite rank operator?

Published on 14 Apr 2026 - 21:49

390

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Find the spectrum of compact operator "min"

Published on 11 Apr 2026 - 8:39

534

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Beltrami Laplace Operator is compact

Published on 11 Apr 2026 - 13:31

79

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Characterization of pre-compacts and application

Published on 12 Apr 2026 - 21:29

465

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Prove that $T$ is not compact

Published on 12 Apr 2026 - 8:39

List Question

About the Banach algebra $\ell^{\infty} (K( \ell^{1}))$

Characterization of compact operators by their spectra

Continuous linear operator that is NOT compact.

Operator linear and continuous, show that it is compact

$Im(K)\subset Y$ closed, infinite-dimensional: $K:X\to Y$ is not a compact operator

Sequence of compact operators that converges to a bounded linear operator $K_{\lambda}$

I don't see why $W^{1, 2}(\partial D)$ being compactly embedded in $L^2(\partial D)$ lets us show an operator is Fredholm of index zero.

Exercise: The range of Compact Operators

$L^2$ operator norm and convergence

Show that $\int_0^x f(t)dt$ is compact and injective

Is $(Tf)(x):=\int_0^x f(t)dt$ defined on $L^2([0,1])$ a finite rank operator?

Find the spectrum of compact operator "min"

Beltrami Laplace Operator is compact

Characterization of pre-compacts and application

Prove that $T$ is not compact

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