List questions from compact-operators

Published on 08 Dec 2015 - 0:51

45

Views

An operator satisfying in a sequence of equations

Published on 09 Dec 2015 - 7:14

135

Views

Compact operator for which the image of the closed unit ball is not compact

Published on 16 Dec 2015 - 10:26

631

Views

Weak convergence = norm convergence for trace class operators?

Published on 16 Dec 2015 - 18:58

425

Views

Modified shift operator is compact.

Published on 17 Dec 2015 - 18:16

211

Views

can a sum of two non-compact operators be compact?

Published on 11 Jan 2016 - 1:27

842

Views

$T:\ell^2 \to \ell^2$ is a compact operator

Published on 13 Jan 2016 - 10:46

130

Views

Sequence of operators that commute imply the limit commutes?

Published on 14 Jan 2016 - 21:31

390

Views

Nontrivial closed ideal of $\mathbb{B(H)}$, $\mathbb{H}$ is a non-separable Hilbert space.

Published on 15 Jan 2016 - 9:10

1k

Views

Different versions of Mercer's theorem

Published on 15 Jan 2016 - 17:44

1.3k

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Dual operator of a compact operator

Published on 18 Jan 2016 - 8:34

36

Views

Bounds on eigenfunctions of integraloperator

Published on 27 Mar 2026 - 10:08

438

Views

Trace-Operator is compact?

Published on 26 Jan 2016 - 10:42

179

Views

Spectrum of operator $T((x_n)_{n\in\mathbb{Z}})=\left(\frac{1}{n^2+1}(x_n-x_{-n})\right)_{n\in\mathbb{Z}}$

Published on 29 Jan 2016 - 14:30

387

Views

Reflexive Banach spaces, compactness

Published on 30 Jan 2016 - 21:56

List Question

bounded operator whose image is contained in the image of a compact operator

An operator satisfying in a sequence of equations

Compact operator for which the image of the closed unit ball is not compact

Weak convergence = norm convergence for trace class operators?

Modified shift operator is compact.

can a sum of two non-compact operators be compact?

$T:\ell^2 \to \ell^2$ is a compact operator

Sequence of operators that commute imply the limit commutes?

Nontrivial closed ideal of $\mathbb{B(H)}$, $\mathbb{H}$ is a non-separable Hilbert space.

Different versions of Mercer's theorem

Dual operator of a compact operator

Bounds on eigenfunctions of integraloperator

Trace-Operator is compact?

Spectrum of operator $T((x_n)_{n\in\mathbb{Z}})=\left(\frac{1}{n^2+1}(x_n-x_{-n})\right)_{n\in\mathbb{Z}}$

Reflexive Banach spaces, compactness

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