List questions from compact-operators

Published on 10 Oct 2018 - 5:37

160

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Definition of a compact linear operator

Published on 18 Oct 2018 - 4:29

81

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multiplication of Hilbert Schmidt operators and bounded operators

Published on 18 Oct 2018 - 14:24

350

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Showing compact operator

Published on 19 Oct 2018 - 4:11

99

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Spectrum of two operators on Hilbert Space whose difference is compact

Published on 22 Oct 2018 - 18:32

102

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Kernel of an operator

Published on 03 Nov 2018 - 16:25

86

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Limit of an operator and eigenvalues

Published on 03 Nov 2018 - 16:58

166

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If a bounded operator has finitely many eigenvalues above zero, is it compact?

Published on 05 Nov 2018 - 12:01

45

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Range-Kernel Uncomplementation of Fredholm Operators

Published on 09 Nov 2018 - 18:39

146

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Compact operators on $\ell^1$

Published on 12 Nov 2018 - 22:15

50

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Centralizer of projections

Published on 18 Nov 2018 - 6:00

38

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How to show the continuity of the following operator?

Published on 21 Nov 2018 - 14:43

495

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Unbounded self-adjoint operator with compact resolvent: Expansion

Published on 25 Mar 2026 - 3:07

796

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dim $ker(T-\lambda)\le1$ for all $\lambda$ in $\mathbb{C}$ $\iff$ $\exists h\in \mathbb{H} \ s.t. \ h$ is a cyclic vector for $T$.

Published on 23 Nov 2018 - 9:07

105

Views

How to show that $(\lambda_n x_n)$ is compact iff $(\lambda_n)\in c_0$?

Published on 27 Nov 2018 - 19:17

List Question

Compact Operator and Unit Ball in C([0,1])

Definition of a compact linear operator

multiplication of Hilbert Schmidt operators and bounded operators

Showing compact operator

Spectrum of two operators on Hilbert Space whose difference is compact

Kernel of an operator

Limit of an operator and eigenvalues

If a bounded operator has finitely many eigenvalues above zero, is it compact?

Range-Kernel Uncomplementation of Fredholm Operators

Compact operators on $\ell^1$

Centralizer of projections

How to show the continuity of the following operator?

Unbounded self-adjoint operator with compact resolvent: Expansion

dim $ker(T-\lambda)\le1$ for all $\lambda$ in $\mathbb{C}$ $\iff$ $\exists h\in \mathbb{H} \ s.t. \ h$ is a cyclic vector for $T$.

How to show that $(\lambda_n x_n)$ is compact iff $(\lambda_n)\in c_0$?

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