Nuclearity and Grothendieck-Lidskii formula for quaternionic operators

DOI10.1016/j.aim.2024.109558arXiv2306.14189OpenAlexW4392328820MaRDI QIDQ6204528

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Publication date: 28 March 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.14189

zbMATH Keywords

nuclear operatorsquaternionic operatorsGrothendieck-Lidskii formula

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Quaternionic operator theory (47S05) Quaternionic functional analysis (46S05)

Cites Work

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• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
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• Quaternionic determinants
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• Quasideterminants
• Determinants of matrices over noncommutative rings
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• Notes on supermanifolds and integration
• A new functional calculus for noncommuting operators
• \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
• Quaternionic matrices: Unitary similarity, simultaneous triangularization and some trace identities
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• La théorie de Fredholm
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• A polyanalytic functional calculus of order 2 on the 𝑆-spectrum
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• Quaternions and matrices of quaternions
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