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The goal of this paper is to study a topology generated by the star order on von Neumann algebras. In particular, it is proved that the order topology under investigation… Click to show full abstract
The goal of this paper is to study a topology generated by the star order on von Neumann algebras. In particular, it is proved that the order topology under investigation is finer than $$\sigma $$σ-strong* topology. On the other hand, we show that it is comparable with the norm topology if and only if the von Neumann algebra is finite-dimensional.
Keywords:
neumann algebras;
star order;
order topologies;
topology;
von neumann
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!