List questions from compact-operators

Published on 22 Mar 2026 - 21:02

813

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Bounded operator but not Compact

Published on 25 Mar 2026 - 7:40

349

Views

Given an averaging operator $A: l_p \rightarrow l_p$, why $A$ is not compact

Published on 09 Dec 2018 - 17:10

537

Views

Example of a non-trace class operator

Published on 14 Dec 2018 - 21:12

142

Views

Third kind Fredholm integral equation

Published on 20 Dec 2018 - 16:39

248

Views

A non compact operator on $L^2[0,1]$

Published on 22 Dec 2018 - 8:23

1.4k

Views

A linear operator is compact if and only if the image of any bounded set is relatively compact

Published on 24 Dec 2018 - 14:03

263

Views

Isomorphisms in the proof of the Fredholm alternative/Theorem of Riesz-Schauder (for compact operators)

Published on 29 Dec 2018 - 22:17

91

Views

Non existence of solution of a special first kind Fredholm integral equation

Published on 30 Dec 2018 - 16:50

64

Views

Matrices of bounded linear operators

Published on 04 Jan 2019 - 2:37

861

Views

Integral Operator in $L^2$

Published on 05 Jan 2019 - 19:13

282

Views

$||T-T_n|| \rightarrow 0$ and $T_n$ are compact but $T$ is not a compact operator.

Published on 06 Jan 2019 - 13:41

101

Views

Compact operator on $L^2[0,1]^2$

Published on 09 Jan 2019 - 18:05

1.5k

Views

Compact operators and weak convergence

Published on 11 Jan 2019 - 11:44

213

Views

Show that $(Tu)(x)=\int_{\alpha(x)}^{\beta(x)} u(t)dt$ is Compact linear operator on $C([0,1])$

Published on 12 Jan 2019 - 20:17

List Question

Kernel decomposition of a finite rank integral opeartor

Bounded operator but not Compact

Given an averaging operator $A: l_p \rightarrow l_p$, why $A$ is not compact

Example of a non-trace class operator

Third kind Fredholm integral equation

A non compact operator on $L^2[0,1]$

A linear operator is compact if and only if the image of any bounded set is relatively compact

Isomorphisms in the proof of the Fredholm alternative/Theorem of Riesz-Schauder (for compact operators)

Non existence of solution of a special first kind Fredholm integral equation

Matrices of bounded linear operators

Integral Operator in $L^2$

$||T-T_n|| \rightarrow 0$ and $T_n$ are compact but $T$ is not a compact operator.

Compact operator on $L^2[0,1]^2$

Compact operators and weak convergence

Show that $(Tu)(x)=\int_{\alpha(x)}^{\beta(x)} u(t)dt$ is Compact linear operator on $C([0,1])$

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