List questions from operator-theory

Published on 26 Jan 2019 - 18:41

445

Views

Compactness of an integral operator from $L^2$ to $L^2$

Published on 23 Feb 2026 - 3:28

45

Views

$\underset{_{a\rightarrow 0}}{\lim }L_{a}^{\ast }\left( L_{a}L_{a}^{\ast }\right) ^{-1}L_{a}=?$

Published on 26 Mar 2026 - 12:15

850

Views

RAGE theorem for absolutely continuous spectrum?

Published on 25 Mar 2026 - 6:09

272

Views

Strictly positive inner product for a pair of non-zero, positive operators.

Published on 25 Mar 2026 - 6:12

154

Views

A "Crookedness criterion" for a pair of orthogonal projectors?

Published on 25 Mar 2026 - 17:53

236

Views

Show compactness of an operator

Published on 25 Mar 2026 - 17:38

40

Views

If $Lf=bf'+\frac12σ^2f''$, $L^\ast$ is the $L^2$-adjoint of $L$, $ϱ$ is a solution of $L^\astϱ=0$ and $\mu=ϱ{\rm d}x$, is $L$ symmetric on $L^2(\mu)$?

Published on 28 Jan 2019 - 21:43

197

Views

Do two unitary operators that commute have same eigenvalues?

Published on 29 Jan 2019 - 1:11

53

Views

Direct limit of totally ordered system of isomorphic $C^*$-algebras

Published on 26 Mar 2026 - 20:44

813

Views

Second derivative operator closed on $AC^2[0,1]$

Published on 28 Mar 2026 - 21:50

67

Views

Large radius limit for a differential operator on a circle

Published on 25 Mar 2026 - 3:18

48

Views

Extension of a integration by parts formula for a linear operator on $C_0(\mathbb R)$

Published on 30 Jan 2019 - 13:54

221

Views

Image unit ball under Isometric Isomorphism

Published on 25 Mar 2026 - 11:00

217

Views

Multiplication operator by $x$ on $L^2(0,1)$ is isomorphic to its square

Published on 29 Mar 2026 - 6:30

List Question

When is the null vector in the range of an operator?

Compactness of an integral operator from $L^2$ to $L^2$

$\underset{_{a\rightarrow 0}}{\lim }L_{a}^{\ast }\left( L_{a}L_{a}^{\ast }\right) ^{-1}L_{a}=?$

RAGE theorem for absolutely continuous spectrum?

Strictly positive inner product for a pair of non-zero, positive operators.

A "Crookedness criterion" for a pair of orthogonal projectors?

Show compactness of an operator

If $Lf=bf'+\frac12σ^2f''$, $L^\ast$ is the $L^2$-adjoint of $L$, $ϱ$ is a solution of $L^\astϱ=0$ and $\mu=ϱ{\rm d}x$, is $L$ symmetric on $L^2(\mu)$?

Do two unitary operators that commute have same eigenvalues?

Direct limit of totally ordered system of isomorphic $C^*$-algebras

Second derivative operator closed on $AC^2[0,1]$

Large radius limit for a differential operator on a circle

Extension of a integration by parts formula for a linear operator on $C_0(\mathbb R)$

Image unit ball under Isometric Isomorphism

Multiplication operator by $x$ on $L^2(0,1)$ is isomorphic to its square

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