List questions from operator-theory

Published on 17 Jul 2019 - 21:05

1.3k

Views

Prove that there is a positive integer $m$ such that $V=\ker(T^m)\oplus\operatorname{Im}(T^m)$.

Published on 17 Jul 2019 - 22:47

310

Views

Commutator of operators

Published on 25 Mar 2026 - 18:53

228

Views

Range of self-adjoint operator

Published on 18 Jul 2019 - 12:47

670

Views

Dixmier's lemma as a generalisation of Schur's first lemma

Published on 19 Jul 2019 - 0:09

109

Views

what are random matrices?

Published on 26 Mar 2026 - 1:09

85

Views

Finding the operator norm of $\phi \in ((\ell^{2}, \|\cdot \|_{2}))^{*}$

Published on 28 Mar 2026 - 13:40

40

Views

Non determinant -class operators satisfing $A^2+I=0$

Published on 27 Mar 2026 - 23:01

52

Views

Weak limit of continuous operator

Published on 25 Mar 2026 - 14:32

59

Views

Showing that the $T: \operatorname{dom}(T) \to \ell^{2}$ is closed

Published on 25 Mar 2026 - 11:16

68

Views

Extension of $$-representation from an algebraic corner of a $$-algebra

Published on 27 Mar 2026 - 22:52

62

Views

Find $\vert \vert T_{k} \vert \vert$ where $T_{k}f(s)=\int_{0}^{1}k(s,t)f(t)dt$

Published on 26 Mar 2026 - 1:23

135

Views

Operator norm of translated operator

Published on 26 Mar 2026 - 6:20

35

Views

Proof Check: Continuity of Kernel Operator

Published on 24 Jul 2019 - 17:22

52

Views

Does the space of densely defined operators on a Hilbert space form a Hilbert space?

Published on 31 Mar 2026 - 7:06

List Question

Surjective (orthogonal) Projection

Prove that there is a positive integer $m$ such that $V=\ker(T^m)\oplus\operatorname{Im}(T^m)$.

Commutator of operators

Range of self-adjoint operator

Dixmier's lemma as a generalisation of Schur's first lemma

what are random matrices?

Finding the operator norm of $\phi \in ((\ell^{2}, \|\cdot \|_{2}))^{*}$

Non determinant -class operators satisfing $A^2+I=0$

Weak limit of continuous operator

Showing that the $T: \operatorname{dom}(T) \to \ell^{2}$ is closed

Extension of $$-representation from an algebraic corner of a $$-algebra

Find $\vert \vert T_{k} \vert \vert$ where $T_{k}f(s)=\int_{0}^{1}k(s,t)f(t)dt$

Operator norm of translated operator

Proof Check: Continuity of Kernel Operator

Does the space of densely defined operators on a Hilbert space form a Hilbert space?

Trending Questions

Popular # Hahtags

Popular Questions