List questions from operator-theory

Published on 01 Jan 2020 - 20:33

38

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Is there an integral transform kernel that satisfies the following property?

Published on 25 Mar 2026 - 9:25

43

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Showing that any coercive, maximal monotone set of $X\times X^*$ is surjective.

Published on 25 Mar 2026 - 22:06

793

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Separability of bounded operators on normed spaces

Published on 25 Mar 2026 - 20:52

407

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How can I show the symmetry of an operator?

Published on 25 Mar 2026 - 9:50

97

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$\langle u| \langle v| A |u\rangle |v\rangle \geq 0$ for any $|u\rangle \in \mathcal{H}_1$ and $|v\rangle \in \mathcal{H}_2$. Then $A$ is Hermitian?

Published on 11 Apr 2026 - 18:12

303

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Equality of sum and direct sum of projection operators

Published on 27 Mar 2026 - 16:47

106

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Are idempotent maps in Linear Algebra only so under a specific equivalence relation

Published on 26 Mar 2026 - 2:50

30

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Prove that the integral operator is onto

Published on 27 Mar 2026 - 5:37

75

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Property of bounded linear operators

Published on 09 Apr 2026 - 5:31

335

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A map between Banach spaces is continuous - counterexample

Published on 11 Apr 2026 - 0:13

65

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The norm of a continuous linear operator

Published on 09 Apr 2026 - 11:31

383

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Prove that position operator is bounded

Published on 10 Apr 2026 - 23:58

142

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Matrix representations of operators on Banach spaces

Published on 10 Apr 2026 - 19:27

235

Views

Norm of position operator of quantum mechanics

Published on 11 Apr 2026 - 1:48

List Question

An example $A$ such that $R(A)\not\subset R(A^2)$ for positive self-adjoint $A$

Is there an integral transform kernel that satisfies the following property?

Showing that any coercive, maximal monotone set of $X\times X^*$ is surjective.

Separability of bounded operators on normed spaces

How can I show the symmetry of an operator?

$\langle u| \langle v| A |u\rangle |v\rangle \geq 0$ for any $|u\rangle \in \mathcal{H}_1$ and $|v\rangle \in \mathcal{H}_2$. Then $A$ is Hermitian?

Equality of sum and direct sum of projection operators

Are idempotent maps in Linear Algebra only so under a specific equivalence relation

Prove that the integral operator is onto

Property of bounded linear operators

A map between Banach spaces is continuous - counterexample

The norm of a continuous linear operator

Prove that position operator is bounded

Matrix representations of operators on Banach spaces

Norm of position operator of quantum mechanics

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