List questions from operator-theory

Published on 28 Mar 2026 - 1:35

53

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T=T** for densely defined operator T

Published on 12 Aug 2014 - 2:54

62

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$R\mbox{ is a right multiplier and }R(a)b=a\overset{?}{\implies} A\mbox{ is unital }$

Published on 29 Mar 2026 - 14:02

117

Views

How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$

Published on 04 Apr 2026 - 14:49

51

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Problem involving pseudomonotone mappings on Banach space

Published on 30 Mar 2026 - 7:20

295

Views

Skew-adjoint differential operator $B$ with spectrum $\sigma(B)=i(-\infty,-1]$

Published on 28 Mar 2026 - 1:35

189

Views

Definitions of hemicontinuity

Published on 05 Apr 2026 - 18:37

165

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A possible Corollary of the Fredholm alternative?

Published on 12 Aug 2014 - 22:39

1k

Views

Convergence of square root operators

Published on 13 Aug 2014 - 16:49

216

Views

Sufficient condition for an operator to be compact in Hilbert space of holomorphic function with respect to Gaussion weight (Fock space).

Published on 26 Mar 2026 - 11:01

150

Views

characterization of unital Fourier multipliers on $L^\infty(\mathbb{R})$?

Published on 31 Mar 2026 - 14:40

222

Views

How to show that $e^{tA}=\frac{1}{2\pi i}\int_{\{Re \ \lambda =a\}}e^{\lambda t}(\lambda I-A)^{-1}d\lambda$?

Published on 31 Mar 2026 - 20:51

2.5k

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For a Hilbert space $\mathcal{H}$, is every bounded linear operator on $\mathcal{H}$ a linear combination of unitary operators?

Published on 03 Apr 2026 - 2:35

91

Views

Reciprocal Non-linear Hammerstein integral equation

Published on 26 Mar 2026 - 6:19

514

Views

Convolution operator positive definite?

Published on 28 Mar 2026 - 6:05

List Question

Spectra of operators on different spaces

T=T** for densely defined operator T

$R\mbox{ is a right multiplier and }R(a)b=a\overset{?}{\implies} A\mbox{ is unital }$

How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$

Problem involving pseudomonotone mappings on Banach space

Skew-adjoint differential operator $B$ with spectrum $\sigma(B)=i(-\infty,-1]$

Definitions of hemicontinuity

A possible Corollary of the Fredholm alternative?

Convergence of square root operators

Sufficient condition for an operator to be compact in Hilbert space of holomorphic function with respect to Gaussion weight (Fock space).

characterization of unital Fourier multipliers on $L^\infty(\mathbb{R})$?

How to show that $e^{tA}=\frac{1}{2\pi i}\int_{\{Re \ \lambda =a\}}e^{\lambda t}(\lambda I-A)^{-1}d\lambda$?

For a Hilbert space $\mathcal{H}$, is every bounded linear operator on $\mathcal{H}$ a linear combination of unitary operators?

Reciprocal Non-linear Hammerstein integral equation

Convolution operator positive definite?

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