List questions from operator-theory

Published on 25 Mar 2026 - 9:50

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Operator semigroup: Notation Ambiguity

Published on 25 Mar 2026 - 2:56

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$\{T(t):t\geq 0\}$ is a strongly continuous semi-group, suppose $x\in \mathbb{X}$, $w-\lim_{t\to 0^{+}}\frac{1}{t}(T(t)-I)x=y$, show that $y=Ax$.

Published on 25 Mar 2026 - 1:18

37

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Which operator topology to use and how to see map is continuous

Published on 25 Mar 2026 - 19:25

1k

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Square roots of non-negative commuting operators commute

Published on 13 May 2018 - 5:17

104

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Is it possible to obtain an expression for the spectrum of a compact embedding operator? E.g. for $I:H^1([0,1])\to L^1([0,1])$?

Published on 25 Mar 2026 - 7:44

38

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Operators and power regularity

Published on 26 Mar 2026 - 12:42

356

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polar decomposition of compact operators

Published on 27 Mar 2026 - 9:51

53

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$[A\otimes C,B\otimes D]=0$ but neither $[A,B]= 0$ nor $[C,D]=0$

Published on 14 May 2018 - 21:24

91

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About certain convergence of Cesaro means

Published on 26 Mar 2026 - 6:34

199

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Tangential projection $P: \Gamma \to T_\Gamma$ or $P: V(\Gamma) \to V(T_\Gamma)$?

Published on 25 Mar 2026 - 15:32

336

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Applying the Uniform Boundedness Principle to $\ell ^p$ space

Published on 25 Mar 2026 - 17:24

89

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Derivative $\Lambda(\phi,\psi)=\frac{\langle\phi|A|\psi\rangle}{\langle\phi|\psi\rangle}$

Published on 26 Mar 2026 - 14:19

574

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Eigenvalues and spectrum of an operator on a Hilbert space

Published on 25 Mar 2026 - 19:04

49

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Given a sequences of eigenvalues could we find a corresponding operator

Published on 17 May 2018 - 15:50

List Question

If $A^{1/2}B^{1/2}=0$. Why $BA=0\;?$

Operator semigroup: Notation Ambiguity

$\{T(t):t\geq 0\}$ is a strongly continuous semi-group, suppose $x\in \mathbb{X}$, $w-\lim_{t\to 0^{+}}\frac{1}{t}(T(t)-I)x=y$, show that $y=Ax$.

Which operator topology to use and how to see map is continuous

Square roots of non-negative commuting operators commute

Is it possible to obtain an expression for the spectrum of a compact embedding operator? E.g. for $I:H^1([0,1])\to L^1([0,1])$?

Operators and power regularity

polar decomposition of compact operators

$[A\otimes C,B\otimes D]=0$ but neither $[A,B]= 0$ nor $[C,D]=0$

About certain convergence of Cesaro means

Tangential projection $P: \Gamma \to T_\Gamma$ or $P: V(\Gamma) \to V(T_\Gamma)$?

Applying the Uniform Boundedness Principle to $\ell ^p$ space

Derivative $\Lambda(\phi,\psi)=\frac{\langle\phi|A|\psi\rangle}{\langle\phi|\psi\rangle}$

Eigenvalues and spectrum of an operator on a Hilbert space

Given a sequences of eigenvalues could we find a corresponding operator

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