GNS construction for \(C^\ast\)-valued positive sesquilinear maps on a quasi \(^\ast\)-algebra

DOI10.1007/S00009-024-02704-2MaRDI QIDQ6591078

Camillo Trapani, Stefan Ivković, Giorgia Bellomonte

Publication date: 21 August 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

GNS representationquasi-normed spaces\(C^\ast\)-modules\(C^\ast\)-valued positive sesquilinear maps

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) General module theory in associative algebras (16D10) Forms (bilinear, sesquilinear, multilinear) (47A07)

Cites Work

• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• Locally convex quasi \(^\ast\)-algebras and their representations
• Self-adjoint algebras of unbounded operators
• Metric operators, generalized hermiticity and lattices of Hilbert spaces
• Positive Linear Maps of Operator Algebras
• Inner Product Modules Over B ∗ -Algebras
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Related Items (1)

On representations and topological aspects of positive maps on non-unital quasi \(*\)-algebras

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