List questions from compact-operators

Published on 19 Jul 2016 - 19:38

396

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Characterization of compact operators by their spectra

Published on 21 Jul 2016 - 16:18

703

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Continuous linear operator that is NOT compact.

Published on 22 Jul 2016 - 11:25

371

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Operator linear and continuous, show that it is compact

Published on 22 Jul 2016 - 11:55

616

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

Published on 23 Jul 2016 - 7:57

50

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

Published on 23 Jul 2016 - 8:33

121

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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 23 Jul 2016 - 16:46

846

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Exercise: The range of Compact Operators

Published on 23 Jul 2016 - 17:35

315

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$L^2$ operator norm and convergence

Published on 05 Aug 2016 - 6:55

586

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

Published on 23 Feb 2026 - 8:59

339

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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 09 Aug 2016 - 15:10

387

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Find the spectrum of compact operator "min"

Published on 20 Aug 2016 - 5:43

531

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Beltrami Laplace Operator is compact

Published on 27 Aug 2016 - 8:16

76

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Characterization of pre-compacts and application

Published on 27 Aug 2016 - 8:17

462

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Prove that $T$ is not compact

Published on 07 Sep 2016 - 15:57

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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