List questions from compact-operators

Published on 25 Jan 2022 - 22:08

183

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Convergence in the operator norm

Published on 31 Jan 2022 - 16:58

75

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Infinite Matrices from $l^p$ to $l^{\frac{p}{p-1}}$ that are compact operators

Published on 03 Feb 2022 - 21:27

567

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Property of an operator that is Fredholm and compact?

Published on 07 Feb 2022 - 19:26

103

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Equivalence of compact operators

Published on 10 Feb 2022 - 13:30

174

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Kernel of Bounded Operator on Hilbert Space

Published on 12 Feb 2022 - 11:20

87

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How do I deal with the integration limits of the integrals that show up when showing that$Kx(t)=\int_0^tK(t,\tau)x(\tau)d\tau, x\in X$ is compact?

Published on 14 Feb 2022 - 18:31

84

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How can I prove that the spectrum of the operator $A\in B(C(K))$ defined by $Af = g∙f$ is equal to $\text{Im}(g)$, for $g\in C(K)$.

Published on 27 Mar 2026 - 4:23

120

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Zero is an eigenvalue of a compact operator on Non-Seperable spaces

Published on 19 Feb 2022 - 9:31

61

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If $\{\varphi_n\}$ is an eigenbasis of $K^\ast K$'s support and $h\perp K^m\varphi_n$ for all $n,m\ge1$, then how do you show $Kh=0$?

Published on 27 Mar 2026 - 10:12

387

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Essential Spectrum of arbitrary compact operator

Published on 20 Feb 2022 - 22:17

122

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Prove that a given operator is compact

Published on 21 Feb 2022 - 16:48

47

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example in spectral theory

Published on 24 Feb 2022 - 14:08

133

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Spectrum of sum of bounded and compact map

Published on 28 Feb 2022 - 20:41

306

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Spectrum of sum of bilateral shift operator and a compact operator

Published on 02 Mar 2022 - 14:19

List Question

Check whether operator $T: L^1[0,1] \to L[0,1]$ is compact.

Convergence in the operator norm

Infinite Matrices from $l^p$ to $l^{\frac{p}{p-1}}$ that are compact operators

Property of an operator that is Fredholm and compact?

Equivalence of compact operators

Kernel of Bounded Operator on Hilbert Space

How do I deal with the integration limits of the integrals that show up when showing that$Kx(t)=\int_0^tK(t,\tau)x(\tau)d\tau, x\in X$ is compact?

How can I prove that the spectrum of the operator $A\in B(C(K))$ defined by $Af = g∙f$ is equal to $\text{Im}(g)$, for $g\in C(K)$.

Zero is an eigenvalue of a compact operator on Non-Seperable spaces

If $\{\varphi_n\}$ is an eigenbasis of $K^\ast K$'s support and $h\perp K^m\varphi_n$ for all $n,m\ge1$, then how do you show $Kh=0$?

Essential Spectrum of arbitrary compact operator

Prove that a given operator is compact

example in spectral theory

Spectrum of sum of bounded and compact map

Spectrum of sum of bilateral shift operator and a compact operator

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