List questions from compact-operators

Published on 22 Jul 2018 - 23:14

569

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General method to prove density, continuous and compact embedding of space into another

Published on 23 Jul 2018 - 19:36

1.9k

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If it exists, the inverse of a compact linear operator in infinite dimensional space cannot be bouded

Published on 24 Jul 2018 - 2:06

63

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singular values for a compact operators

Published on 24 Jul 2018 - 12:48

535

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Strongly convergence and Uniformly convergence in Banach space

Published on 19 Mar 2026 - 21:57

51

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References for "Compactness Operator in set theory and topology" - why antispace is kind a topological space?

Published on 09 Aug 2018 - 12:22

704

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Why are nonzero eigenvalues of a compact operator poles of its resolvent?

Published on 24 Mar 2026 - 22:01

114

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Hilbert-Schmidt operator defined by non-orthogonal basis

Published on 05 Sep 2018 - 11:58

1k

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Is the spectral decomposition of self-adjoint compact operators unique?

Published on 12 Sep 2018 - 21:25

1.2k

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$T: L^2[0,1] \to L^2[0,1]$, $Tf(x)= \frac{1}{x}\int_{0}^x f(y)$, is a bounded but not compact operator.

Published on 16 Sep 2018 - 14:53

554

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A property of the convolution of operator

Published on 24 Sep 2018 - 1:15

120

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Please check my proof of a bounded linear operator and to show it a finite rank operator

Published on 24 Sep 2018 - 12:22

120

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The operator $T+i Id$

Published on 04 Oct 2018 - 7:06

63

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Banach spaces and compactness

Published on 05 Oct 2018 - 22:30

22

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compactness of weighted resolvent

Published on 08 Oct 2018 - 20:11

List Question

Example of a noncompact operator on $L^2([0,1])$

General method to prove density, continuous and compact embedding of space into another

If it exists, the inverse of a compact linear operator in infinite dimensional space cannot be bouded

singular values for a compact operators

Strongly convergence and Uniformly convergence in Banach space

References for "Compactness Operator in set theory and topology" - why antispace is kind a topological space?

Why are nonzero eigenvalues of a compact operator poles of its resolvent?

Hilbert-Schmidt operator defined by non-orthogonal basis

Is the spectral decomposition of self-adjoint compact operators unique?

$T: L^2[0,1] \to L^2[0,1]$, $Tf(x)= \frac{1}{x}\int_{0}^x f(y)$, is a bounded but not compact operator.

A property of the convolution of operator

Please check my proof of a bounded linear operator and to show it a finite rank operator

The operator $T+i Id$

Banach spaces and compactness

compactness of weighted resolvent

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