List questions from operator-theory

Published on 31 Mar 2026 - 22:30

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Dual norm of the matrix $L^1$ norm is infinity norm (and vice versa)

Published on 06 Apr 2026 - 4:56

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Lipschitz constants of projections

Published on 28 Mar 2026 - 16:04

115

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Question about the Averson's proof of the bicommutant theorem.

Published on 28 Mar 2026 - 4:42

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Riesz Functional Calculus vs. Holomorphic Functional Calculus

Published on 28 Mar 2026 - 2:59

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What is the closest self-adjoint (positive) operator to a given operator?

Published on 03 Apr 2026 - 6:03

420

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A matrix $G$ with all eigenvalues with nonzero real part. Then $t\mapsto |\exp(tG)x |$ is unbounded

Published on 03 Apr 2026 - 11:06

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Integral operator on $L^p$ is compact

Published on 26 Mar 2026 - 12:32

608

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$\sup$ norm of a function

Published on 26 Mar 2026 - 14:16

171

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Solution set of linear operator equations

Published on 31 Aug 2014 - 18:23

159

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If $T$ is self-adjoint, is the set of power series in $T$ closed?

Published on 01 Sep 2014 - 14:18

662

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Give necessary and sufficient conditions for a multiplication on $L^p$ to be compact

Published on 31 Mar 2026 - 22:30

136

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Minimum eigen value of this operator valued self-adjoint matrix

Published on 02 Sep 2014 - 5:10

797

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Compactness of the Volterra opelator

Published on 26 Mar 2026 - 12:41

371

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$T\in\mathcal{L}(X,Y)$ maps closed bounded subsets onto closed subsets $\implies$ Range $T$ is closed.

Published on 06 Apr 2026 - 6:29

List Question

When is an operator on $\ell_1$ the dual of an operator on $c_0$?

Dual norm of the matrix $L^1$ norm is infinity norm (and vice versa)

Lipschitz constants of projections

Question about the Averson's proof of the bicommutant theorem.

Riesz Functional Calculus vs. Holomorphic Functional Calculus

What is the closest self-adjoint (positive) operator to a given operator?

A matrix $G$ with all eigenvalues with nonzero real part. Then $t\mapsto |\exp(tG)x |$ is unbounded

Integral operator on $L^p$ is compact

$\sup$ norm of a function

Solution set of linear operator equations

If $T$ is self-adjoint, is the set of power series in $T$ closed?

Give necessary and sufficient conditions for a multiplication on $L^p$ to be compact

Minimum eigen value of this operator valued self-adjoint matrix

Compactness of the Volterra opelator

$T\in\mathcal{L}(X,Y)$ maps closed bounded subsets onto closed subsets $\implies$ Range $T$ is closed.

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