E-viri
Recenzirano
-
Manuilov, Vladimir
Mathematische Nachrichten, March 2024, 2024-03-00, 20240301, Letnik: 297, Številka: 3Journal Article
Let M⊂N$M\subset N$ be Hilbert C∗$C^*$‐modules over a C∗$C^*$‐algebra A$A$ with M⊥=0$M^\perp =0$. It was shown recently by Kaad and Skeide that there exists a non‐zero A$A$‐valued functional on N$N$ such that its restriction onto M$M$ is zero. Here, we show that this may happen even if A$A$ is monotone complete. On the other hand, we show that for certain type I W∗$W^*$‐algebras this cannot happen.
