List questions from compact-operators

Published on 25 Mar 2026 - 5:00

545

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Spectrum of compact operator on infinite dimensional Hilbert space is countably infinite

Published on 28 May 2019 - 5:51

84

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Showing that $(Ax)(t) = x'(t)$ is a Fredholm operator

Published on 31 May 2019 - 19:39

275

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Compact operators on $L_1[0,1]$

Published on 01 Jun 2019 - 13:32

36

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Compact operators and $S_p(H)$

Published on 02 Jun 2019 - 14:38

589

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Calculate the operator norm of $A: L^2[0,1] \to L^2[0,1]$ defined by $(Af)(x):=i\int_0^x f(t)\,dt-\frac{i}{2} \int_0^1 f(t) \,dt$

Published on 25 Mar 2026 - 7:46

133

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commuting with compacts

Published on 03 Jun 2019 - 9:41

241

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Compact operator

Published on 03 Jun 2019 - 22:56

45

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Properties of compact operator in $l_2$

Published on 04 Jun 2019 - 8:40

1.2k

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If compact embedding $H^1_0(\Omega) \hookrightarrow H^{-1}(\Omega)$ is not surjective, how can $H^{-1}(\Omega)$ be the dual of $H^1_0(\Omega)$?

Published on 08 Jun 2019 - 22:59

28

Views

Compactness of a special kind of Integral operators

Published on 08 Jun 2019 - 23:10

83

Views

$T(h)=\langle h,u\rangle v$ is a compact operator on Hilbert space $H$

Published on 10 Jun 2019 - 2:37

33

Views

Representing linear operator with matrix

Published on 14 Jun 2019 - 16:59

94

Views

Showing that the operator is compact

Published on 16 Jun 2019 - 21:26

185

Views

Multiplication operator from Sobolev space to $L^p$ space is compact?

Published on 18 Jun 2019 - 10:48

List Question

Prove two operators commute and a further question

Spectrum of compact operator on infinite dimensional Hilbert space is countably infinite

Showing that $(Ax)(t) = x'(t)$ is a Fredholm operator

Compact operators on $L_1[0,1]$

Compact operators and $S_p(H)$

Calculate the operator norm of $A: L^2[0,1] \to L^2[0,1]$ defined by $(Af)(x):=i\int_0^x f(t)\,dt-\frac{i}{2} \int_0^1 f(t) \,dt$

commuting with compacts

Compact operator

Properties of compact operator in $l_2$

If compact embedding $H^1_0(\Omega) \hookrightarrow H^{-1}(\Omega)$ is not surjective, how can $H^{-1}(\Omega)$ be the dual of $H^1_0(\Omega)$?

Compactness of a special kind of Integral operators

$T(h)=\langle h,u\rangle v$ is a compact operator on Hilbert space $H$

Representing linear operator with matrix

Showing that the operator is compact

Multiplication operator from Sobolev space to $L^p$ space is compact?

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