List questions from compact-operators

Published on 24 Apr 2018 - 0:16

168

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Submultiplicative aspect of L^2 norm. Should I use a different one? Cauchy Schwartz

Published on 25 Apr 2018 - 14:15

254

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Does there exist an infinite dimensional compact operator on any infinite dimensional Banach space?

Published on 27 Apr 2018 - 1:32

147

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Show that the integral-operator compact?

Published on 29 Apr 2018 - 11:02

346

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If an operator in $X$ with compact resolvent is bounded, $X$ must be finite dimensional.

Published on 03 May 2018 - 15:36

175

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Expressing an operator as a sum of the identity and a compact operator

Published on 22 Mar 2026 - 13:43

35

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Is there such subsequence in $L^2(\Bbb{R}^2)$.

Published on 24 Mar 2026 - 22:08

103

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Is it possible to obtain an expression for the spectrum of a compact embedding operator? E.g. for $I:H^1([0,1])\to L^1([0,1])$?

Published on 13 May 2018 - 8:27

354

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polar decomposition of compact operators

Published on 14 May 2018 - 11:03

555

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For which n differential operator $C^{(n)}[0, 1] \rightarrow C[0,1]$ is compact

Published on 20 May 2018 - 22:08

252

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Compact embedding between $H^{m+1}(\Omega)$ and $H^{m}(\Omega)$ for $\Omega$ bounded

Published on 23 May 2018 - 21:21

77

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Relationship between eigenvalues of compact operators $A$ and $(A+A^*)/2$

Published on 23 May 2018 - 22:55

72

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If $A$ is a compact operator, then the rank of $A^*A$ is equal to the rank of $A$.

Published on 27 May 2018 - 7:06

1.3k

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Fredholm operator of index 0

Published on 28 May 2018 - 22:10

125

Views

Compact or noncompact operator?

Published on 28 May 2018 - 22:38

List Question

$T$ is compact iff $\langle Te_i,e_j\rangle\to 0$ as $i,j\to\infty$

Submultiplicative aspect of L^2 norm. Should I use a different one? Cauchy Schwartz

Does there exist an infinite dimensional compact operator on any infinite dimensional Banach space?

Show that the integral-operator compact?

If an operator in $X$ with compact resolvent is bounded, $X$ must be finite dimensional.

Expressing an operator as a sum of the identity and a compact operator

Is there such subsequence in $L^2(\Bbb{R}^2)$.

Is it possible to obtain an expression for the spectrum of a compact embedding operator? E.g. for $I:H^1([0,1])\to L^1([0,1])$?

polar decomposition of compact operators

For which n differential operator $C^{(n)}[0, 1] \rightarrow C[0,1]$ is compact

Compact embedding between $H^{m+1}(\Omega)$ and $H^{m}(\Omega)$ for $\Omega$ bounded

Relationship between eigenvalues of compact operators $A$ and $(A+A^*)/2$

If $A$ is a compact operator, then the rank of $A^*A$ is equal to the rank of $A$.

Fredholm operator of index 0

Compact or noncompact operator?

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