List questions from compact-operators

Published on 28 Jun 2023 - 12:07

29

Views

Existence of compact operator with eigenvelues determined by a given sequence

Published on 28 Jun 2023 - 22:07

46

Views

Brezis' exercise 6.13.1: $\forall \varepsilon>0\,\exists C_\varepsilon > 0$ s.t. $|Tu|_F \le \varepsilon |u|_E + C_\varepsilon |u|$

Published on 28 Jun 2023 - 22:12

30

Views

Proof of Ringrose Theorem

Published on 29 Jun 2023 - 13:24

29

Views

Brezis' exercise 6.18.1: does $S_r$ or $S_{\ell}$ belong to $\mathcal{K}(E)$?

Published on 30 Jun 2023 - 21:06

45

Views

Strictly positive compact operator commuting with a given Fredholm operator

Published on 25 Mar 2026 - 18:45

76

Views

Trace theorem for Bochner space.

Published on 26 Mar 2026 - 4:29

75

Views

Atkinson Theorem for unbounded Fredholm Operators

Published on 14 Jul 2023 - 8:21

39

Views

Is it true that $T$ is surjective IFF $T-K$ is surjective?

Published on 15 Jul 2023 - 8:25

73

Views

Compact operator in $\ell_2$

Published on 18 Jul 2023 - 10:39

64

Views

Conditions for an integral operator to be a compact operator on L^2(R)

Published on 25 Mar 2026 - 7:43

37

Views

Brezis' exercise 6.20.1: prove that $T \in \mathcal{K}(E)$

Published on 25 Jul 2023 - 23:26

102

Views

Does $x_n \rightharpoonup 0$, where $\|x_n \| \leq 1$ imply $Ax_n\rightarrow 0$, when $A$ is a compact, self-adjoint projection?

Published on 26 Mar 2026 - 11:17

42

Views

Brezis' exercise 6.21.1: prove that $N$ is finite-dimensional

Published on 27 Jul 2023 - 14:24

43

Views

Eigenvalues of a resriction of a compact operator

Published on 27 Jul 2023 - 15:06

List Question

Injective compact linear operator from infinite dimensional normed space

Existence of compact operator with eigenvelues determined by a given sequence

Brezis' exercise 6.13.1: $\forall \varepsilon>0\,\exists C_\varepsilon > 0$ s.t. $|Tu|_F \le \varepsilon |u|_E + C_\varepsilon |u|$

Proof of Ringrose Theorem

Brezis' exercise 6.18.1: does $S_r$ or $S_{\ell}$ belong to $\mathcal{K}(E)$?

Strictly positive compact operator commuting with a given Fredholm operator

Trace theorem for Bochner space.

Atkinson Theorem for unbounded Fredholm Operators

Is it true that $T$ is surjective IFF $T-K$ is surjective?

Compact operator in $\ell_2$

Conditions for an integral operator to be a compact operator on L^2(R)

Brezis' exercise 6.20.1: prove that $T \in \mathcal{K}(E)$

Does $x_n \rightharpoonup 0$, where $\|x_n \| \leq 1$ imply $Ax_n\rightarrow 0$, when $A$ is a compact, self-adjoint projection?

Brezis' exercise 6.21.1: prove that $N$ is finite-dimensional

Eigenvalues of a resriction of a compact operator

Trending Questions

Popular # Hahtags

Popular Questions