List questions from operator-algebras

Published on 08 Oct 2022 - 19:02

32

Views

Let $\rho:C(X)\to B(H)$ is a representation where $X$ is compact, $T_2$. $\rho$ is injective iff $E(G)\ne0$ for all open $G$

Published on 13 Apr 2026 - 12:24

60

Views

Ultraweak topology closed hereditary subalgebra induce an ultraweak topology closed left ideal?

Published on 13 Apr 2026 - 17:21

101

Views

Can a unital -homomorphism be extended to the bidual of a $\mathrm{C}^$-algebra?

Published on 13 Apr 2026 - 12:10

90

Views

Positive invertible elements and pure states in unital C*-algebra

Published on 13 Apr 2026 - 5:57

175

Views

Irreducible and faithful representations of C*-algebra

Published on 11 Apr 2026 - 7:22

73

Views

construct a faithful normal conditional expectation on the ultraproduct of a von Neumann algebra

Published on 01 Apr 2026 - 5:31

38

Views

Unable to show the boundedness of the map $\varphi$ from $\hat M$ to the Hilbert space $H_\tau$

Published on 13 Apr 2026 - 2:19

30

Views

Recover a norm-closed ideal by a norm-closed subset of positive elements in a $C^*$-Algebra

Published on 13 Apr 2026 - 12:23

67

Views

Why does a certain sum converge strongly in $B(H\otimes K)?$

Published on 10 Apr 2026 - 21:28

77

Views

Injectiveness of convolution operator in $\ell^2(G)$

Published on 12 Apr 2026 - 6:51

72

Views

Unitary equivalence of two matrices

Published on 12 Apr 2026 - 18:51

60

Views

Function composition on Toeplitz operator.

Published on 08 Apr 2026 - 16:35

49

Views

Restriction of strict topology from M(A) back to A

Published on 10 Apr 2026 - 18:17

58

Views

Closed densely defined operators affiliated with a von Neumann algebra $M$

Published on 01 Apr 2026 - 5:24

List Question

Cyclic vectors in irreducible GNS representation of pure states

Let $\rho:C(X)\to B(H)$ is a representation where $X$ is compact, $T_2$. $\rho$ is injective iff $E(G)\ne0$ for all open $G$

Ultraweak topology closed hereditary subalgebra induce an ultraweak topology closed left ideal?

Can a unital -homomorphism be extended to the bidual of a $\mathrm{C}^$-algebra?

Positive invertible elements and pure states in unital C*-algebra

Irreducible and faithful representations of C*-algebra

construct a faithful normal conditional expectation on the ultraproduct of a von Neumann algebra

Unable to show the boundedness of the map $\varphi$ from $\hat M$ to the Hilbert space $H_\tau$

Recover a norm-closed ideal by a norm-closed subset of positive elements in a $C^*$-Algebra

Why does a certain sum converge strongly in $B(H\otimes K)?$

Injectiveness of convolution operator in $\ell^2(G)$

Unitary equivalence of two matrices

Function composition on Toeplitz operator.

Restriction of strict topology from M(A) back to A

Closed densely defined operators affiliated with a von Neumann algebra $M$

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