List questions from compact-operators

Published on 26 Mar 2026 - 1:02

68

Views

Given $T \in B(X)$, find a compact operator $K$ with rank $1$ such that $\operatorname{rank}(TK - KT) \leq 2$

Published on 16 Apr 2026 - 10:07

107

Views

Can any Hilbert space be expressed as countable union of unit balls?

Published on 13 Apr 2026 - 12:10

81

Views

Continuation of compact operator to completion of the space

Published on 09 Apr 2026 - 15:11

145

Views

Condition for an operator to be compact

Published on 09 Apr 2026 - 15:08

559

Views

Compact integral operator on $L^\infty(\mathbb{R})$

Published on 08 Apr 2026 - 15:33

234

Views

Schauder Basis and Approximation property

Published on 14 Apr 2026 - 3:14

75

Views

On ranges of nuclear operators

Published on 12 Apr 2026 - 18:30

298

Views

How to find a finite-dimensional invariant subspace for a self-adjoint operator?

Published on 10 Apr 2026 - 13:01

62

Views

about properties of the operator $T_f(g) := f\cdot g$.

Published on 15 Apr 2026 - 23:20

221

Views

Inclusion map $i : C^{0,\beta}[0, 1] \rightarrow C^{0,\alpha}[0, 1] $ is linear, and therefore compact

Published on 25 Mar 2026 - 12:26

232

Views

Is a function of a compact operator a compact operator?

Published on 11 Apr 2026 - 10:50

70

Views

Define the map $T(f)=a(x)f(x)$ where $a(x) \in C[-\pi,\pi]$ and $f \in L^2$, show that $T$ is not compact unless $a=0$

Published on 26 Mar 2026 - 1:12

151

Views

Compactness of the trace operator in dimension 1

Published on 11 May 2026 - 4:05

54

Views

Show that $X= \ker((u-\lambda)^p) \oplus (u-\lambda)^p(X)$ if $u$ is compact.

Published on 14 May 2026 - 15:02

List Question

Is a nonlinear compact operator still compact if multiplied by a scalar function

Given $T \in B(X)$, find a compact operator $K$ with rank $1$ such that $\operatorname{rank}(TK - KT) \leq 2$

Can any Hilbert space be expressed as countable union of unit balls?

Continuation of compact operator to completion of the space

Condition for an operator to be compact

Compact integral operator on $L^\infty(\mathbb{R})$

Schauder Basis and Approximation property

On ranges of nuclear operators

How to find a finite-dimensional invariant subspace for a self-adjoint operator?

about properties of the operator $T_f(g) := f\cdot g$.

Inclusion map $i : C^{0,\beta}[0, 1] \rightarrow C^{0,\alpha}[0, 1] $ is linear, and therefore compact

Is a function of a compact operator a compact operator?

Define the map $T(f)=a(x)f(x)$ where $a(x) \in C[-\pi,\pi]$ and $f \in L^2$, show that $T$ is not compact unless $a=0$

Compactness of the trace operator in dimension 1

Show that $X= \ker((u-\lambda)^p) \oplus (u-\lambda)^p(X)$ if $u$ is compact.

Trending Questions

Popular # Hahtags

Popular Questions