List questions from compact-operators

Published on 11 Apr 2026 - 7:22

71

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Properties of the linear operator $T(f)=\chi_{[0,\frac{1}{2}]}f(2x)$ where $T:L^1[0,1] \to L^1[0,1]$

Published on 16 Apr 2026 - 13:03

49

Views

Let $T: L^2[0,\infty)\to L^2[0,\infty)$, $T(f)=2f(x+1)$ is it compact?

Published on 16 Apr 2026 - 15:24

68

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Eigenvalues of a compact operator with modulus greater than $\epsilon$ is finite

Published on 14 Apr 2026 - 10:36

580

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Why is identity map on a separable Hilbert space not compact? False proof.

Published on 12 Apr 2026 - 16:18

252

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A not compact operator defined in $l^2$

Published on 11 Apr 2026 - 17:28

290

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Finding the adjoint of a compact operator?

Published on 11 Apr 2026 - 13:29

63

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Convergence of Compact Linear Opeators in $L^2([0,1])$

Published on 15 Apr 2026 - 18:15

43

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For which $\alpha$ is this integral operator compact?

Published on 12 Apr 2026 - 3:33

408

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Proving an operator is compact exercise

Published on 09 Apr 2026 - 21:41

297

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Prove multiplication by sequence is a compact operator

Published on 13 Apr 2026 - 19:08

55

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Simple norm inequality

Published on 12 Apr 2026 - 11:11

189

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When is orthogonal projection compact?

Published on 12 Apr 2026 - 3:19

312

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Find the spectrum of an operator related to Fourier series

Published on 14 Apr 2026 - 13:45

153

Views

$L:L^2([0,1])\rightarrow L^2([0,1])$, $Lf(x)=\frac1{x+1}f(x)$ not compact

Published on 16 Apr 2026 - 19:42

List Question

About the hypotheses of Schauder Theorem

Properties of the linear operator $T(f)=\chi_{[0,\frac{1}{2}]}f(2x)$ where $T:L^1[0,1] \to L^1[0,1]$

Let $T: L^2[0,\infty)\to L^2[0,\infty)$, $T(f)=2f(x+1)$ is it compact?

Eigenvalues of a compact operator with modulus greater than $\epsilon$ is finite

Why is identity map on a separable Hilbert space not compact? False proof.

A not compact operator defined in $l^2$

Finding the adjoint of a compact operator?

Convergence of Compact Linear Opeators in $L^2([0,1])$

For which $\alpha$ is this integral operator compact?

Proving an operator is compact exercise

Prove multiplication by sequence is a compact operator

Simple norm inequality

When is orthogonal projection compact?

Find the spectrum of an operator related to Fourier series

$L:L^2([0,1])\rightarrow L^2([0,1])$, $Lf(x)=\frac1{x+1}f(x)$ not compact

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