Free probability on Banach algebras induced by scaled hypercomplex numbers

DOI10.1007/s11785-023-01471-4OpenAlexW4391136219MaRDI QIDQ6196065

Ilwoo Cho

Publication date: 14 March 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01471-4

zbMATH Keywords

free probabilitygroup \(C^\ast\)-algebrasscaled hypercomplex numbersscaled-hypercomplex groups

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

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• Quaternionic analysis
• On quaternionic functional analysis
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• Operators induced by certain hypercomplex systems

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