List questions from operator-theory

Published on 25 Mar 2026 - 18:59

34

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For an operator $\hat A$, if $\langle \hat A\rangle=0$, does this mean that $\langle \hat A\rangle\langle\hat A\rangle=0\,?$

Published on 27 Mar 2026 - 23:13

306

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Conditional expectation in free probability

Published on 25 Mar 2026 - 20:32

110

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How is this operation (Operator to matrix) called?

Published on 27 Mar 2026 - 23:31

110

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Proof explanation related to the operator matrices

Published on 27 Mar 2026 - 14:11

126

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Is finite dimensional representation of $C^*$ algebra surjective?

Published on 25 Mar 2026 - 22:03

417

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Continuity of the kernel of bounded operators under perturbation

Published on 25 Mar 2026 - 22:02

191

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Sufficient Condition for Positivity of Matrix with Operator-valued Entries

Published on 25 Mar 2026 - 4:40

174

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irreducible subrepresentation of a finite dimensional representation of $C^*$ algebra

Published on 25 Mar 2026 - 20:36

162

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Common Eigenvectors for commuting unbounded Operators

Published on 26 Mar 2026 - 6:19

280

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Perturbation Theory: Derivative of a trace.

Published on 25 Mar 2026 - 3:01

91

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Continuously Differentiably Unitarily Diagonalizing $B + tC$, for $B$, $C$ Hermitian.

Published on 25 Mar 2026 - 2:59

279

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Straightforward derivation leads to a more general Sturm-Liouville operator than expected

Published on 26 Mar 2026 - 6:14

219

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Eigenvalue of a real vector space

Published on 22 Aug 2018 - 14:39

460

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Does the modulus of a linear operator change continuously with the operator?

Published on 25 Mar 2026 - 3:06

List Question

Separable Commutative $C*$ algebra

For an operator $\hat A$, if $\langle \hat A\rangle=0$, does this mean that $\langle \hat A\rangle\langle\hat A\rangle=0\,?$

Conditional expectation in free probability

How is this operation (Operator to matrix) called?

Proof explanation related to the operator matrices

Is finite dimensional representation of $C^*$ algebra surjective?

Continuity of the kernel of bounded operators under perturbation

Sufficient Condition for Positivity of Matrix with Operator-valued Entries

irreducible subrepresentation of a finite dimensional representation of $C^*$ algebra

Common Eigenvectors for commuting unbounded Operators

Perturbation Theory: Derivative of a trace.

Continuously Differentiably Unitarily Diagonalizing $B + tC$, for $B$, $C$ Hermitian.

Straightforward derivation leads to a more general Sturm-Liouville operator than expected

Eigenvalue of a real vector space

Does the modulus of a linear operator change continuously with the operator?

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