Question

Must a sequence of projections strongly converge to 0 if their values given by a faithful normal state converge to 0?

score 81 · Answer 1 · 2026-03-31 05:25:33

81

Views

Must a sequence of projections strongly converge to 0 if their values given by a faithful normal state converge to 0?

Published on 31 Mar 2026 - 5:25

score 27 · Answer 2 · 2026-03-30 20:59:44

27

Views

For a family of projections how to prove $\vee(I-E_a) \ge I-\wedge E_a$?

Published on 30 Mar 2026 - 20:59

score 155 · Answer 3 · 2026-04-08 22:00:40

155

Views

Operator targeting $\ell^2$-direct sum of Hilbert spaces continuous if all its projections are continuous?

Published on 08 Apr 2026 - 22:00

score 189 · Answer 4 · 2021-04-29 07:21:51

189

Views

Unital $C^*$ subalgebra of a von Neumann algebra

Published on 29 Apr 2021 - 7:21

score 221 · Answer 5 · 2026-03-29 11:42:40

221

Views

Prove that $v=vv^*v$ for a partial isometry $v$.

Published on 29 Mar 2026 - 11:42

score 70 · Answer 6 · 2021-04-30 18:54:24

70

Views

Given a commutative C* algebra, can we tell if it is a function ring of some manifold to $\mathbb{R}$(or $\mathbb{C}$)?

Published on 30 Apr 2021 - 18:54

score 42 · Answer 7 · 2026-03-31 05:06:26

42

Views

Minimal operator space structures on $C^*$ algebras

Published on 31 Mar 2026 - 5:06

score 124 · Answer 8 · 2026-03-31 05:18:37

124

Views

Slice maps on a von Neumann algebra completely positive?

Published on 31 Mar 2026 - 5:18

score 514 · Answer 9 · 2021-05-05 18:49:08

514

Views

Is every subalgebra of a group algebra isomorphic to the group algebra of some subgroup?

Published on 05 May 2021 - 18:49

score 173 · Answer 10 · 2026-03-31 07:35:38

173

Views

noncommutative Hölder inequality

Published on 31 Mar 2026 - 7:35

score 30 · Answer 11 · 2026-03-31 07:34:58

30

Views

Normality implies lower $w$-semicontinuity

Published on 31 Mar 2026 - 7:34

score 129 · Answer 12 · 2021-05-07 13:38:01

129

Views

Does the fiber of a projection, under a surjective *-homomorphism, contain a projection?

Published on 07 May 2021 - 13:38

score 51 · Answer 13 · 2021-05-07 15:17:18

51

Views

For a locally compact group $G$, does the embedding $L^1(G) \subset C^*_r(G) \subset L^2(G)$ hold in general?

Published on 07 May 2021 - 15:17

score 267 · Answer 14 · 2021-05-11 08:19:50

267

Views

Does the square function respect the strong operator topology on self-adjoint operators?

Published on 11 May 2021 - 8:19

score 187 · Answer 15 · 2026-04-08 21:52:52

187

Views

Let $H$ be a Hilbert space, $\xi, \eta \in H$. Understanding the bounded linear operator $ \xi \otimes \eta^* $?

Published on 08 Apr 2026 - 21:52

List Question

Must a sequence of projections strongly converge to 0 if their values given by a faithful normal state converge to 0?

For a family of projections how to prove $\vee(I-E_a) \ge I-\wedge E_a$?

Operator targeting $\ell^2$-direct sum of Hilbert spaces continuous if all its projections are continuous?

Unital $C^*$ subalgebra of a von Neumann algebra

Prove that $v=vv^*v$ for a partial isometry $v$.

Given a commutative C* algebra, can we tell if it is a function ring of some manifold to $\mathbb{R}$(or $\mathbb{C}$)?

Minimal operator space structures on $C^*$ algebras

Slice maps on a von Neumann algebra completely positive?

Is every subalgebra of a group algebra isomorphic to the group algebra of some subgroup?

noncommutative Hölder inequality

Normality implies lower $w$-semicontinuity

Does the fiber of a projection, under a surjective *-homomorphism, contain a projection?

For a locally compact group $G$, does the embedding $L^1(G) \subset C^*_r(G) \subset L^2(G)$ hold in general?

Does the square function respect the strong operator topology on self-adjoint operators?

Let $H$ be a Hilbert space, $\xi, \eta \in H$. Understanding the bounded linear operator $ \xi \otimes \eta^* $?

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