List questions from compact-operators

Published on 17 Aug 2014 - 7:34

132

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Spectrum of $Tu=\int^1_{-1} (1-|x-y|)u(y)dy $

Published on 25 Mar 2026 - 23:52

2.1k

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Integral operator on $L^p$ is compact

Published on 31 Aug 2014 - 5:32

607

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$\sup$ norm of a function

Published on 31 Aug 2014 - 14:10

89

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An abstract a priori estimate in finite element method

Published on 25 Mar 2026 - 12:48

979

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Spectrum of an integral operator.

Published on 02 Sep 2014 - 9:33

796

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Compactness of the Volterra opelator

Published on 02 Sep 2014 - 15:43

64

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Proving $u$ is compact whenever $u^\ast$ is

Published on 03 Sep 2014 - 2:38

170

Views

Compactness of an operator on $c_0$ in terms of its infinite matrix representation

Published on 04 Sep 2014 - 12:44

67

Views

Perturbation of operators and eigenvalues

Published on 06 Sep 2014 - 21:27

327

Views

An example of a non-compact operator which is equal to (norm) limit of compact operators

Published on 08 Sep 2014 - 4:56

2.3k

Views

Every compact operator on a Banach space with the approximation property is a norm-limit of finite rank operators

Published on 08 Sep 2014 - 12:45

1.6k

Views

Bounded linear operator commuting with every compact operators

Published on 09 Sep 2014 - 13:21

534

Views

Show an operator is compact if $\sum \|Te_n\| < \infty$

Published on 10 Sep 2014 - 13:31

81

Views

Compactness of the image of $S^{\ast}$ throw compact operator

Published on 11 Sep 2014 - 17:49

List Question

If a compact operator satisfies $T^nx\to0$ weakly for all $x$, then $\|T^n\|\to0$

Spectrum of $Tu=\int^1_{-1} (1-|x-y|)u(y)dy $

Integral operator on $L^p$ is compact

$\sup$ norm of a function

An abstract a priori estimate in finite element method

Spectrum of an integral operator.

Compactness of the Volterra opelator

Proving $u$ is compact whenever $u^\ast$ is

Compactness of an operator on $c_0$ in terms of its infinite matrix representation

Perturbation of operators and eigenvalues

An example of a non-compact operator which is equal to (norm) limit of compact operators

Every compact operator on a Banach space with the approximation property is a norm-limit of finite rank operators

Bounded linear operator commuting with every compact operators

Show an operator is compact if $\sum \|Te_n\| < \infty$

Compactness of the image of $S^{\ast}$ throw compact operator

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