List questions from operator-theory

Published on 08 Apr 2026 - 21:45

93

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Bounded operator and image of convergent net is compact implies compact operator

Published on 25 Mar 2026 - 12:48

143

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Is T a continuous linear map?

Published on 10 Apr 2026 - 17:55

96

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limit of invertible elements in $C^*$-algebra

Published on 30 Mar 2026 - 9:49

97

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How to find function $h \in L^2 ([-\pi,\pi])$ so that $T(f)=\int_{-\pi}^\pi f(x)h(x)dx $

Published on 03 Apr 2026 - 19:40

47

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How to prove that $\bigcup_{n=1}^{\infty} K_n = Y$ in the open mapping theorem?

Published on 11 Apr 2026 - 17:25

63

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How to compute $||T||$?

Published on 03 Apr 2026 - 19:34

222

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Weyl-von Neumann Berg-Theorem and Density of the Eigenvalues

Published on 12 Dec 2019 - 16:56

820

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$T:X \to Y$ linear, $J:Y \to Z$ linear, injective and bounded such that $JT:X\to Z$ is bounded, too. Prove $T$ is bounded.

Published on 02 Apr 2026 - 12:42

68

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Reference request for a particular type of evolutionary problems

Published on 25 Mar 2026 - 22:30

45

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An implication of strong-operator continuity.

Published on 09 Apr 2026 - 18:56

106

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Image and invertibility of $\frac{d}{dx}-x$ on $\mathbb{R}$

Published on 15 Dec 2019 - 8:09

520

Views

Essential spectrum of squared operator

Published on 10 Apr 2026 - 0:43

317

Views

Linear operator commutes with translations if and only if exits a Fourier multiplier. (Stein, Singular Integrals and differenciability properties)

Published on 11 Apr 2026 - 7:39

260

Views

Define Hilbert transform from $L^p$ to $L^p$ using Calderon-Zygmund theory

Published on 29 Mar 2026 - 20:20

List Question

Introducing norm to make the derivative operator bounded

Bounded operator and image of convergent net is compact implies compact operator

Is T a continuous linear map?

limit of invertible elements in $C^*$-algebra

How to find function $h \in L^2 ([-\pi,\pi])$ so that $T(f)=\int_{-\pi}^\pi f(x)h(x)dx $

How to prove that $\bigcup_{n=1}^{\infty} K_n = Y$ in the open mapping theorem?

How to compute $||T||$?

Weyl-von Neumann Berg-Theorem and Density of the Eigenvalues

$T:X \to Y$ linear, $J:Y \to Z$ linear, injective and bounded such that $JT:X\to Z$ is bounded, too. Prove $T$ is bounded.

Reference request for a particular type of evolutionary problems

An implication of strong-operator continuity.

Image and invertibility of $\frac{d}{dx}-x$ on $\mathbb{R}$

Essential spectrum of squared operator

Linear operator commutes with translations if and only if exits a Fourier multiplier. (Stein, Singular Integrals and differenciability properties)

Define Hilbert transform from $L^p$ to $L^p$ using Calderon-Zygmund theory

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