List questions from compact-operators

Published on 25 Jan 2021 - 13:48

163

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Is this operator on $L^2$ compact?

Published on 25 Jan 2021 - 14:28

35

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Are the functionals $\omega_{\xi_1, \xi_2}$ norm-dense in $B_0(H)?$

Published on 25 Jan 2021 - 22:29

1k

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Show $T$ is compact operator if $\langle Te_n,e_n \rangle$ tend to zero.

Published on 25 Mar 2026 - 16:00

424

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Div-Curl lemma and precompactness in $H^{-1}$

Published on 30 Jan 2021 - 2:52

207

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What's the motivation for the term "compact" operator?

Published on 05 Feb 2021 - 21:23

56

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If $T$ is invertible and $K$ is compact, is $0\ne\lambda\mapsto(\lambda T+K)^{-1}$ holomorphic?

Published on 12 Feb 2021 - 5:47

163

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Essential spectrum of operators whose resolvent difference is compact

Published on 16 Feb 2021 - 14:48

73

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Is this operator T compact on $L^2([0,1])$?

Published on 17 Feb 2021 - 16:22

351

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Strong operator limit of a sequence of compact linear operators is not compact

Published on 21 Feb 2021 - 9:25

70

Views

Show that $f^{n}(x)\xrightarrow{n} x_0\forall x\in X$

Published on 24 Feb 2021 - 20:10

47

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Operator Compact

Published on 25 Feb 2021 - 18:33

257

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Finite rank nilpotent operators

Published on 05 Mar 2021 - 0:14

215

Views

Is the image of closed unit ball under the linear operator closed?

Published on 31 Mar 2026 - 3:29

130

Views

write a finite rank operator as sum of a nilpotent and diagonal operators

Published on 09 Mar 2021 - 4:24

List Question

Is this operator a finite rank operator on $L^2$?

Is this operator on $L^2$ compact?

Are the functionals $\omega_{\xi_1, \xi_2}$ norm-dense in $B_0(H)?$

Show $T$ is compact operator if $\langle Te_n,e_n \rangle$ tend to zero.

Div-Curl lemma and precompactness in $H^{-1}$

What's the motivation for the term "compact" operator?

If $T$ is invertible and $K$ is compact, is $0\ne\lambda\mapsto(\lambda T+K)^{-1}$ holomorphic?

Essential spectrum of operators whose resolvent difference is compact

Is this operator T compact on $L^2([0,1])$?

Strong operator limit of a sequence of compact linear operators is not compact

Show that $f^{n}(x)\xrightarrow{n} x_0\forall x\in X$

Operator Compact

Finite rank nilpotent operators

Is the image of closed unit ball under the linear operator closed?

write a finite rank operator as sum of a nilpotent and diagonal operators

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