List questions from compact-operators

Published on 09 Apr 2026 - 10:32

138

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Compact Operators on Hilbert Spaces

Published on 09 Apr 2026 - 11:05

91

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Prove $0$ is eigenvalue of a certain operator

Published on 09 Apr 2026 - 2:11

126

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Composition operator compact iff point evaluation

Published on 08 Apr 2026 - 22:37

134

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About the spectral resolution theorem

Published on 08 Apr 2026 - 21:42

643

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

Published on 16 Apr 2026 - 7:53

64

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decomposition of finite rank projection

Published on 12 Apr 2026 - 15:38

520

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

Published on 11 May 2026 - 9:31

122

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

Published on 14 Apr 2026 - 15:49

1.2k

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

Published on 11 Apr 2026 - 16:37

68

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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 14 Apr 2026 - 22:02

95

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

Published on 14 Apr 2026 - 21:14

55

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This operator is it compact?

Published on 10 Apr 2026 - 15:00

227

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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 14 Apr 2026 - 12:28

223

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

Published on 10 Apr 2026 - 5:14

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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