List questions from compact-operators

Published on 13 Apr 2026 - 5:09

58

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Dimmension of null spaces of a convergent sequence of operators

Published on 12 Apr 2026 - 21:59

43

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Can both of these linear operators be unbounded?

Published on 15 Apr 2026 - 11:23

48

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if $S \in \mathscr{H}$ and $T \in \mathscr{K}$ then ST is compact.

Published on 10 Apr 2026 - 23:59

100

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Convergent sum of operator norms of iterates of kernel operator corresponding to stepping of graphon $W$

Published on 14 Apr 2026 - 5:01

28

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Convergence in trace

Published on 09 Apr 2026 - 11:11

42

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Compactness of $C[J,X]$?

Published on 13 Apr 2026 - 23:31

33

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Sequence of range space of compact operator stabilizes. Sheldon Axler MIRA Ex 10C 11

Published on 12 Apr 2026 - 3:31

32

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Range of $I-T$ is closed for $T$ being a compact operator in a Banach Space

Published on 15 Apr 2026 - 12:50

45

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Compact embedding in $L^1$

Published on 11 Apr 2026 - 23:32

18

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Computing spectrum of compact self-adjoint operator

Published on 09 Apr 2026 - 14:12

34

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Prove operator $(Tf)(x)=sin(x)\cdot f(x)$ is not compact

Published on 14 Apr 2026 - 11:59

48

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$T\in\mathcal K(H)$ , $(e_n)$ orthonormal sequence. Prove $Te_n \rightarrow 0$.

Published on 13 Apr 2026 - 23:07

30

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Compactness and boundedness of integral convolution operator

Published on 10 Apr 2026 - 14:52

45

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Ask for the name of a condition on commutator of two operators

Published on 10 Apr 2026 - 23:00

List Question

Prove $T$ with bounded basis sum in Hilbert space is compact.

Dimmension of null spaces of a convergent sequence of operators

Can both of these linear operators be unbounded?

if $S \in \mathscr{H}$ and $T \in \mathscr{K}$ then ST is compact.

Convergent sum of operator norms of iterates of kernel operator corresponding to stepping of graphon $W$

Convergence in trace

Compactness of $C[J,X]$?

Sequence of range space of compact operator stabilizes. Sheldon Axler MIRA Ex 10C 11

Range of $I-T$ is closed for $T$ being a compact operator in a Banach Space

Compact embedding in $L^1$

Computing spectrum of compact self-adjoint operator

Prove operator $(Tf)(x)=sin(x)\cdot f(x)$ is not compact

$T\in\mathcal K(H)$ , $(e_n)$ orthonormal sequence. Prove $Te_n \rightarrow 0$.

Compactness and boundedness of integral convolution operator

Ask for the name of a condition on commutator of two operators

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