List questions from completely-positive-maps | MathQA

Prove that $w(R_n)\le w(T\otimes S_n)$ where $S_n$ denote cyclic forward shift on $\Bbb{C}^n$, $R_n\in M_n(B(H))$ with subdiagonal entris $T$

Published on 12 Feb 2023 - 10:17

$\pi:M_n\to B(K)$ be a unital $*$-homomorphism. Prove, upto equivalence $K=H_1\oplus\cdots\oplus H_n$ with $H_i=H$ such that $\pi(E_{ij})$ satisfies

Published on 18 Feb 2023 - 16:14

If every unital, positive map $\phi:S\to M_n$ is completely positive, then every positive map $\phi:S\to M_n$ is completely positive

Published on 07 Mar 2023 - 6:26

$O(\exp(\ln(x) \ln(\ln(x))^2)) = \sum_{n=0}^{\infty} a_n x^n$ and $0 < a_n$ asymptotics?

Published on 07 Jun 2023 - 22:15

Abstract versus concrete operator spaces

Published on 01 Sep 2023 - 14:21

completely positivity on operator system category implies completely contractivity on operator space category?

Published on 28 Sep 2023 - 15:10

If G is discrete and amenable then $C^*(G)$ has the CPAP

Published on 18 Dec 2023 - 22:15

When is the function identically 1 in the reduced group $C^*$-algebra

Published on 02 Jan 2024 - 22:44

Proof mistake: Induced operator on $C_\lambda^* (G)$.

Published on 06 Jan 2024 - 22:08

Prove Bounded Operator on $C_\lambda^* (\Gamma)$

Published on 21 Jan 2024 - 23:02

Ultraweak Continuity Implies Norm Continuity

Published on 03 Mar 2024 - 22:38