List questions from compact-operators

52

Views

If $I+B$ is invertible in $l^2(\mathbb{Z})$ where $B$ is a compact opreator, is $I+B^N$ invertible where $B^N$ is a truncated version of $B$?

Published on 29 Apr 2026 - 12:53

608

Views

Limit of the shift operator in $L^2$

Published on 26 Mar 2026 - 22:14

144

Views

a property of compact operators in reflxive Banach space

Published on 09 Apr 2026 - 12:03

184

Views

On a characterization of compact operator in Hilbert space

Published on 26 Mar 2026 - 22:13

408

Views

Compact Operators and Inner Product of Weakly Convergent Sequences

Published on 10 Apr 2026 - 14:52

94

Views

Bounded operator and image of convergent net is compact implies compact operator

Published on 10 May 2026 - 20:36

253

Views

Let $T$ a compact operator in $L^2([0,1])$, show that $\lim_{n\to \infty }\sqrt{n}\|Tx^n\|_2=0$

Published on 26 Mar 2026 - 20:44

553

Views

Steps to find Kernel of $T - \lambda I$ where $T$ is a linear operator?

Published on 26 Mar 2026 - 20:44

349

Views

Separable condition on space for a compact operator

Published on 11 May 2026 - 3:42

57

Views

Show that $L$ is compact

Published on 26 Mar 2026 - 20:37

228

Views

Variational formulation for first eigenfunction for compact self-adjoint integral operators, and request for references

Published on 26 Mar 2026 - 22:13

738

Views

If multiplication operator is compact?

Published on 26 Mar 2026 - 20:36

568

Views

Bound of trace norm

Published on 26 Apr 2026 - 2:55

432

Views

About proving that $T$ compact iff $T^*$ compact

Published on 26 Mar 2026 - 20:38

99

Views

Image of sphere is compact?

Published on 26 Mar 2026 - 20:44

List Question

If $I+B$ is invertible in $l^2(\mathbb{Z})$ where $B$ is a compact opreator, is $I+B^N$ invertible where $B^N$ is a truncated version of $B$?

Limit of the shift operator in $L^2$

a property of compact operators in reflxive Banach space

On a characterization of compact operator in Hilbert space

Compact Operators and Inner Product of Weakly Convergent Sequences

Bounded operator and image of convergent net is compact implies compact operator

Let $T$ a compact operator in $L^2([0,1])$, show that $\lim_{n\to \infty }\sqrt{n}\|Tx^n\|_2=0$

Steps to find Kernel of $T - \lambda I$ where $T$ is a linear operator?

Separable condition on space for a compact operator

Show that $L$ is compact

Variational formulation for first eigenfunction for compact self-adjoint integral operators, and request for references

If multiplication operator is compact?

Bound of trace norm

About proving that $T$ compact iff $T^*$ compact

Image of sphere is compact?

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