On the existence of uniformly bounded self-adjoint bases in GNS spaces (Q6188863)
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scientific article; zbMATH DE number 7787219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of uniformly bounded self-adjoint bases in GNS spaces |
scientific article; zbMATH DE number 7787219 |
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On the existence of uniformly bounded self-adjoint bases in GNS spaces (English)
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12 January 2024
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Summary: The Gelfand-Naimark-Segal (GNS) space of a diffuse finite von Neumann algebra with respect to a faithful normal tracial state admits an orthonormal basis consisting of the image inside the GNS space of a uniformly bounded sequence of self-adjoint operators.
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von Neumann algebras
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GNS spaces
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orthonormal basis
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