List questions from compact-operators

Published on 23 Mar 2026 - 5:03

405

Views

Bijective compact operator between $X$ and $Y$ with $\text{dim}(X)=\infty$?

Published on 17 Mar 2026 - 18:08

150

Views

Numerical radius of the absolute value of an operator

Published on 22 Mar 2026 - 16:36

837

Views

Convolution operator

Published on 21 Mar 2026 - 19:21

1.6k

Views

Showing that the Hilbert-Schmidt integral operator is compact.

Published on 07 Mar 2018 - 6:38

95

Views

If $A,B$ are self-adjoint and $A+B\ge 0$, then $A_+-B_-,\ B_+-A_-\ge 0$?

Published on 25 Mar 2026 - 0:07

184

Views

The Image of the Closed Unit Ball Under Finite Rank Operators

Published on 24 Mar 2018 - 8:06

285

Views

A equality in the proof of $T$ compact $\iff T^*$ compact

Published on 01 Apr 2018 - 18:54

248

Views

Cesàro summation in Hilbert space

Published on 22 Mar 2026 - 4:16

311

Views

Limit of sequence of finite rank operators given by $(A_Nf)(x) = \sum_{n=-N}^N \hat f(n) e^{inx}$ is the identity operator, so how can it be compact?

Published on 03 Apr 2018 - 19:39

262

Views

Prove convergence in operator norm and compact operator

Published on 22 Mar 2026 - 18:44

2.1k

Views

Compact operator can be approximated by finite rank operator

Published on 08 Apr 2018 - 3:49

42

Views

$E$ Banach space, $K: E \to E$ compact $\Rightarrow$ if $\lambda \neq 0 \in \sigma(K)$, $\lambda$ is eigenvalue

Published on 09 Apr 2018 - 21:40

697

Views

Uniform Convergence of Sequence of Bounded Operators

Published on 22 Mar 2026 - 20:03

56

Views

Square Root of Operator forms a two sided ideal

Published on 22 Mar 2026 - 17:37

List Question

Importance of compact operators for numerical approximation of integral equations?

Bijective compact operator between $X$ and $Y$ with $\text{dim}(X)=\infty$?

Numerical radius of the absolute value of an operator

Convolution operator

Showing that the Hilbert-Schmidt integral operator is compact.

If $A,B$ are self-adjoint and $A+B\ge 0$, then $A_+-B_-,\ B_+-A_-\ge 0$?

The Image of the Closed Unit Ball Under Finite Rank Operators

A equality in the proof of $T$ compact $\iff T^*$ compact

Cesàro summation in Hilbert space

Limit of sequence of finite rank operators given by $(A_Nf)(x) = \sum_{n=-N}^N \hat f(n) e^{inx}$ is the identity operator, so how can it be compact?

Prove convergence in operator norm and compact operator

Compact operator can be approximated by finite rank operator

$E$ Banach space, $K: E \to E$ compact $\Rightarrow$ if $\lambda \neq 0 \in \sigma(K)$, $\lambda$ is eigenvalue

Uniform Convergence of Sequence of Bounded Operators

Square Root of Operator forms a two sided ideal

Trending Questions

Popular # Hahtags

Popular Questions