List questions from compact-operators

Published on 14 Apr 2026 - 6:20

133

Views

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

Published on 16 Apr 2026 - 11:47

2.1k

Views

Integral operator on $L^p$ is compact

Published on 10 Apr 2026 - 22:48

610

Views

$\sup$ norm of a function

Published on 12 Apr 2026 - 15:35

90

Views

An abstract a priori estimate in finite element method

Published on 11 May 2026 - 7:22

982

Views

Spectrum of an integral operator.

Published on 09 Apr 2026 - 0:25

799

Views

Compactness of the Volterra opelator

Published on 12 Apr 2026 - 6:14

67

Views

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

Published on 13 Apr 2026 - 12:16

173

Views

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

Published on 12 Apr 2026 - 15:25

70

Views

Perturbation of operators and eigenvalues

Published on 12 Apr 2026 - 10:21

330

Views

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

Published on 09 Apr 2026 - 7:33

2.3k

Views

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

Published on 13 Apr 2026 - 14:35

1.6k

Views

Bounded linear operator commuting with every compact operators

Published on 09 Apr 2026 - 13:01

537

Views

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

Published on 09 Apr 2026 - 0:21

84

Views

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

Published on 11 Apr 2026 - 5:45

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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