List questions from operator-theory

Published on 09 Apr 2026 - 2:52

581

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Any linear operator $T$ can be realised as the strong limit of compact operators

Published on 13 Apr 2026 - 22:13

84

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Powers of an operator $\geq I$.

Published on 12 Apr 2026 - 18:48

50

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How to find a Green function of a "nearly" transport operator.

Published on 25 Mar 2026 - 17:53

29

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Adjoints of similar operators

Published on 26 Mar 2026 - 6:34

51

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Relate $ \langle X\,,\mathcal{A}^{*}\mathcal{A}\,X\rangle $ and $\langle X\,,\mathcal{A}\,X\rangle $

Published on 15 Apr 2026 - 9:52

219

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Non-unitary isometries in $B(H)$ are far away from invertible elements

Published on 13 Apr 2026 - 8:46

1.2k

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Inverse of Identity plus Compact Operator

Published on 10 Apr 2026 - 3:06

147

Views

Basic inequality in a Banach Algebra

Published on 15 Apr 2026 - 16:26

276

Views

Applications of functional calculus

Published on 11 Apr 2026 - 13:07

900

Views

Bounded self adjoint operator can be written as difference of positive operators

Published on 10 Apr 2026 - 6:20

2k

Views

Spectrum of Diagonal Operator in $\ell^2$

Published on 12 Apr 2026 - 15:31

488

Views

Composition with compact operator implies uniform convergence

Published on 10 Apr 2026 - 3:57

45

Views

If $AA^$ is an isomorphism does this imply that $A^A$ is an isomorphism?

Published on 13 Apr 2026 - 1:58

197

Views

Application of the Spectral Theorem

Published on 16 Apr 2026 - 22:29

List Question

Can I extract this component of an operator without singular value decomposition?

Any linear operator $T$ can be realised as the strong limit of compact operators

Powers of an operator $\geq I$.

How to find a Green function of a "nearly" transport operator.

Adjoints of similar operators

Relate $ \langle X\,,\mathcal{A}^{*}\mathcal{A}\,X\rangle $ and $\langle X\,,\mathcal{A}\,X\rangle $

Non-unitary isometries in $B(H)$ are far away from invertible elements

Inverse of Identity plus Compact Operator

Basic inequality in a Banach Algebra

Applications of functional calculus

Bounded self adjoint operator can be written as difference of positive operators

Spectrum of Diagonal Operator in $\ell^2$

Composition with compact operator implies uniform convergence

If $AA^$ is an isomorphism does this imply that $A^A$ is an isomorphism?

Application of the Spectral Theorem

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