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Abstract We show that a normal functional $$\varphi$$ on a $$JBW^{\ast}$$ triple induces, via Gelfand–Naimark–Segal like construction, a complete inner product space if and only if $$\varphi$$ is a finite… Click to show full abstract
Abstract We show that a normal functional $$\varphi$$ on a $$JBW^{\ast}$$ triple induces, via Gelfand–Naimark–Segal like construction, a complete inner product space if and only if $$\varphi$$ is a finite convex combination of extreme points from the predual. Application of this result to von Neumann algebras is shown.
Keywords:
completeness inner;
inner product;
spaces associated;
product spaces;
associated functional;
product
Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2020
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Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2020
Link to full text (if available)
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recommendations!