List questions from compact-operators

Published on 10 May 2026 - 18:10

817

Views

Bounded operator but not Compact

Published on 10 May 2026 - 18:18

352

Views

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

Published on 12 Apr 2026 - 9:23

540

Views

Example of a non-trace class operator

Published on 08 Apr 2026 - 19:29

146

Views

Third kind Fredholm integral equation

Published on 10 May 2026 - 23:56

251

Views

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

Published on 11 Apr 2026 - 22:18

1.4k

Views

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

Published on 12 Apr 2026 - 13:10

266

Views

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

Published on 12 Apr 2026 - 12:48

95

Views

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

Published on 11 May 2026 - 9:09

67

Views

Matrices of bounded linear operators

Published on 09 Apr 2026 - 3:50

865

Views

Integral Operator in $L^2$

Published on 30 Apr 2026 - 14:10

285

Views

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

Published on 11 Apr 2026 - 11:17

104

Views

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

Published on 13 Apr 2026 - 19:25

1.5k

Views

Compact operators and weak convergence

Published on 09 Apr 2026 - 3:51

216

Views

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

Published on 15 Apr 2026 - 2:20

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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