Affiliation:
1. Moscow Center for Fundamental and Applied Mathematics Moscow State University Moscow Russia
2. Harbin Institute of Technology Harbin Heilongjiang China
Abstract
AbstractLet be Hilbert ‐modules over a ‐algebra A with . It was shown recently by Kaad and Skeide that there exists a non‐zero A‐valued functional on N such that its restriction onto M is zero. Here, we show that this may happen even if A is monotone complete. On the other hand, we show that for certain type I ‐algebras this cannot happen.
Funder
Russian Science Foundation
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