On the existence of uniformly bounded self-adjoint bases in GNS spaces

DOI10.4171/DM/941OpenAlexW4389124625MaRDI QIDQ6188863

Kunal Mukherjee, Debabrata De

Publication date: 12 January 2024

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/dm/941

zbMATH Keywords

orthonormal basisvon Neumann algebrasGNS spaces

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classification of factors (46L36)

Cites Work

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• The standard form of von Neumann algebras.
• On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
• On symmetric embedding of type I factors
• On bounded coordinates in GNS spaces

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