List questions from compact-operators

Published on 05 Nov 2016 - 18:11

680

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Resolvent set of Volterra integral operator

Published on 25 Mar 2026 - 4:39

2.4k

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Why is the spectrum of an operator with compact resolvent countable and consists only of eigenvalues?

Published on 09 Nov 2016 - 21:21

323

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Closure of range of a compact operator is separable

Published on 26 Mar 2026 - 9:35

816

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Is $0$ an eigenvalue of a compact normal operator?

Published on 17 Nov 2016 - 6:05

62

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$M_2(\mathcal{K}(\mathbb{H})) \cong \mathcal{K}(\mathbb{H} \oplus \mathbb{H} )$?

Published on 18 Nov 2016 - 21:54

68

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Show $T|_{M}$ is a compact operator

Published on 21 Nov 2016 - 0:55

368

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Spectral theorem for normal compact operator

Published on 22 Nov 2016 - 1:14

224

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Is the operator compact or bijective?

Published on 23 Nov 2016 - 19:37

101

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how to prove $\|T-T_n\|\le n^{-1/2}$, and is $T$ compact?

Published on 25 Nov 2016 - 15:08

193

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Dual to compact operators

Published on 29 Nov 2016 - 14:37

239

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compact integral operator and finite dimension of eigenspace

Published on 29 Nov 2016 - 17:42

246

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Argue, why these operators are compact or not.

Published on 29 Nov 2016 - 19:33

159

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Question about eigen values of a compact operator on a Hilbert Space

Published on 30 Nov 2016 - 0:06

419

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Vanishing eigenvalues and compactness of the operator

Published on 30 Nov 2016 - 23:20

List Question

Does there exist a sequence on the unit sphere which converges to zero under compact operator?

Resolvent set of Volterra integral operator

Why is the spectrum of an operator with compact resolvent countable and consists only of eigenvalues?

Closure of range of a compact operator is separable

Is $0$ an eigenvalue of a compact normal operator?

$M_2(\mathcal{K}(\mathbb{H})) \cong \mathcal{K}(\mathbb{H} \oplus \mathbb{H} )$?

Show $T|_{M}$ is a compact operator

Spectral theorem for normal compact operator

Is the operator compact or bijective?

how to prove $\|T-T_n\|\le n^{-1/2}$, and is $T$ compact?

Dual to compact operators

compact integral operator and finite dimension of eigenspace

Argue, why these operators are compact or not.

Question about eigen values of a compact operator on a Hilbert Space

Vanishing eigenvalues and compactness of the operator

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