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Spectral well-behaved \(*\)-representations. (English) Zbl 1090.46042

Jarosz, Krzysztof (ed.) et al., Topological algebras, their applications, and related topics. Proceedings of the conference to celebrate the 70th birthday of Professor Wiesław Żelazko, Bȩdlewo, Poland, May 11–17, 2003. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 67, 123-131 (2005).
Summary: In this brief account, we present a way of obtaining unbounded \(*\)-representations in terms of the so-called “unbounded” \(C^*\)-seminorms. Among such \(*\)-representations, we pick up a special class with “good behaviour”, and characterize them through some properties of the Pták function.
For the entire collection see [Zbl 1063.46001].

MSC:

46K10 Representations of topological algebras with involution
47L60 Algebras of unbounded operators; partial algebras of operators
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