List questions from compact-operators

Published on 27 Aug 2017 - 16:17

135

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Compact Operators on Hilbert Spaces

Published on 30 Aug 2017 - 19:33

88

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Prove $0$ is eigenvalue of a certain operator

Published on 05 Sep 2017 - 14:35

123

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Composition operator compact iff point evaluation

Published on 17 Sep 2017 - 11:50

131

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About the spectral resolution theorem

Published on 17 Sep 2017 - 15:47

641

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convergent subsequence in $S$ versus in $\overline{S}$

Published on 23 Sep 2017 - 21:36

61

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decomposition of finite rank projection

Published on 08 Oct 2017 - 15:43

519

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An explicit example of a compact integral operator in one dimension to help with intuition?

Published on 25 Mar 2026 - 12:37

119

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Show that a $N$-body Schrodinger operator has compact resolvent

Published on 13 Oct 2017 - 8:47

1.2k

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Convergence of $A_nT$ to $AT$ in operator norm for compact $T$

Published on 18 Oct 2017 - 12:26

65

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$u_n\to u$ weakly in $X$ implies $u_n\to u$ weakly in $Y$, $X\subset Y$ compactly embedded

Published on 20 Oct 2017 - 11:16

93

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$\ell^2$ space, compute $\|L\|$.

Published on 22 Oct 2017 - 1:42

52

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This operator is it compact?

Published on 22 Oct 2017 - 17:47

224

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Let $(X,\mu)$ be a $\sigma$-finite measure space. When does $g\in L^\infty(X,\mu)$ define a compact operator on $L^2(X,\mu)$?

Published on 01 Nov 2017 - 19:24

220

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Norm of translation operator on $\mathbb{R}^2$

Published on 03 Nov 2017 - 6:52

List Question

Kernel of selfadjoint compact operator is trivial

Compact Operators on Hilbert Spaces

Prove $0$ is eigenvalue of a certain operator

Composition operator compact iff point evaluation

About the spectral resolution theorem

convergent subsequence in $S$ versus in $\overline{S}$

decomposition of finite rank projection

An explicit example of a compact integral operator in one dimension to help with intuition?

Show that a $N$-body Schrodinger operator has compact resolvent

Convergence of $A_nT$ to $AT$ in operator norm for compact $T$

$u_n\to u$ weakly in $X$ implies $u_n\to u$ weakly in $Y$, $X\subset Y$ compactly embedded

$\ell^2$ space, compute $\|L\|$.

This operator is it compact?

Let $(X,\mu)$ be a $\sigma$-finite measure space. When does $g\in L^\infty(X,\mu)$ define a compact operator on $L^2(X,\mu)$?

Norm of translation operator on $\mathbb{R}^2$

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