List questions from compact-operators

Published on 09 Apr 2026 - 9:05

30

Views

How to show that the operator $T((v_j)_{j\geqslant1})=(c_jv_j)_{j\geqslant1}$ is compact?

Published on 13 Apr 2026 - 23:57

37

Views

Writing direct sum of a normed space as $X=\mathcal{N}(T_{\lambda}^{r})\bigoplus T_{\lambda}^{r} (X)$

Published on 14 Apr 2026 - 14:09

263

Views

trace $(ADA^{-1})=$ trace $(D)$ in infinite dimensions?

Published on 13 Apr 2026 - 6:17

122

Views

If $C$ is compact operator and $M_n$ converges pointwise, show that $CM_n$ converges uniformly.

Published on 13 Apr 2026 - 6:15

124

Views

Show that $(Ax)(t) = \int_{-\pi}^{\pi} | t - s | x(s) ds$ is compact, self adjoint and find its norm.

Published on 13 Apr 2026 - 8:37

81

Views

How to show a specific operator is compact?

Published on 09 Apr 2026 - 1:39

152

Views

Example of non linear operator whose derivative is compact on a Hilbert space?

Published on 27 Mar 2026 - 0:02

129

Views

Problem about convergence of operator norm and compactness of an operator.

Published on 09 Apr 2026 - 9:14

109

Views

Proving that an operator is compact.

Published on 12 Apr 2026 - 2:51

37

Views

Need a help in understanding a solution of a problem on Compact operators.

Published on 08 Apr 2026 - 14:10

1.3k

Views

Norm eigenvalue for operators between Hilbert spaces

Published on 09 Apr 2026 - 8:46

177

Views

About compact injection between Banach spaces

Published on 08 Apr 2026 - 22:25

68

Views

A difficulty in understanding an example of an infinite dimensional generalization of the spectral theorem for compact self adjoint operators.

Published on 12 Apr 2026 - 15:51

53

Views

A difficulty in obtaining a formula in the proof of a theorem.

Published on 12 Apr 2026 - 5:14

List Question

Commuting Operator

How to show that the operator $T((v_j)_{j\geqslant1})=(c_jv_j)_{j\geqslant1}$ is compact?

Writing direct sum of a normed space as $X=\mathcal{N}(T_{\lambda}^{r})\bigoplus T_{\lambda}^{r} (X)$

trace $(ADA^{-1})=$ trace $(D)$ in infinite dimensions?

If $C$ is compact operator and $M_n$ converges pointwise, show that $CM_n$ converges uniformly.

Show that $(Ax)(t) = \int_{-\pi}^{\pi} | t - s | x(s) ds$ is compact, self adjoint and find its norm.

How to show a specific operator is compact?

Example of non linear operator whose derivative is compact on a Hilbert space?

Problem about convergence of operator norm and compactness of an operator.

Proving that an operator is compact.

Need a help in understanding a solution of a problem on Compact operators.

Norm eigenvalue for operators between Hilbert spaces

About compact injection between Banach spaces

A difficulty in understanding an example of an infinite dimensional generalization of the spectral theorem for compact self adjoint operators.

A difficulty in obtaining a formula in the proof of a theorem.

Trending Questions

Popular # Hahtags

Popular Questions