List questions from operator-algebras

Published on 15 Dec 2015 - 16:27

887

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Unitary elements in C*-algebras

Published on 16 Dec 2015 - 13:03

350

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If $0\leq a \leq b$ and $a$ is invertible, then $b$ is invertible

Published on 03 Apr 2026 - 13:39

416

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inner product and hermitian matrices

Published on 17 Dec 2015 - 21:41

587

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Ultra weakly continuous linear functional on von neuman algebras

Published on 29 Mar 2026 - 3:52

264

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Why is a von Neumann algebra is closed with respect to weak * topology?

Published on 29 Mar 2026 - 5:35

110

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States on a $C^*$-algebra

Published on 29 Mar 2026 - 14:18

91

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positive elements of $C^*$-algebra

Published on 25 Dec 2015 - 14:23

333

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Prove $e^{i\alpha\hat{X}}=\cos(\alpha)I+i\sin(\alpha)\hat{X}$ if $\hat{X}^{2}=I$.

Published on 29 Dec 2015 - 21:30

325

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direct sum of a collection of Von-Neuman algebras is still Von-Neuman

Published on 29 Mar 2026 - 5:27

63

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Can anyone prove this equation? (Eq. with operators)

Published on 26 Mar 2026 - 6:33

71

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nilradical of a finite-dimensional algebra

Published on 04 Jan 2016 - 0:21

2.6k

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Prove: the density operator of a pure state has exactly one non-zero eigenvalue equal to unity

Published on 01 Apr 2026 - 1:13

60

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If$ p \in B(H)$ is a projection, then $r \in A'$ if and only if the closed vector subspace $p(H)$ of $H$ is invariant for $A$.

Published on 29 Mar 2026 - 5:27

103

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union of group von neumann

Published on 29 Mar 2026 - 5:35

List Question

An operator which moves on the boundary

Unitary elements in C*-algebras

If $0\leq a \leq b$ and $a$ is invertible, then $b$ is invertible

inner product and hermitian matrices

Ultra weakly continuous linear functional on von neuman algebras

Why is a von Neumann algebra is closed with respect to weak * topology?

States on a $C^*$-algebra

positive elements of $C^*$-algebra

Prove $e^{i\alpha\hat{X}}=\cos(\alpha)I+i\sin(\alpha)\hat{X}$ if $\hat{X}^{2}=I$.

direct sum of a collection of Von-Neuman algebras is still Von-Neuman

Can anyone prove this equation? (Eq. with operators)

nilradical of a finite-dimensional algebra

Prove: the density operator of a pure state has exactly one non-zero eigenvalue equal to unity

If$ p \in B(H)$ is a projection, then $r \in A'$ if and only if the closed vector subspace $p(H)$ of $H$ is invariant for $A$.

union of group von neumann

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