Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ-Measurable Operators: Part II

Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ-Measurable Operators: Part II

The paper establishes arithmetic–geometric mean and related submajorisation and norm inequalities for τ -measurable operators affiliated with a semi-finite von Neumann algebra acting in a separable Hilbert space as an application of the theory of double operator integration.

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Veröffentlicht in:Integral equations and operator theory 2020-08, Vol.92 (4), Article 32
Hauptverfasser: Dodds, P. G., Dodds, T. K., Sukochev, F. A., Zanin, D.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Arithmetic
Hilbert space
Inequalities
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Zusammenfassung:The paper establishes arithmetic–geometric mean and related submajorisation and norm inequalities for τ -measurable operators affiliated with a semi-finite von Neumann algebra acting in a separable Hilbert space as an application of the theory of double operator integration.
ISSN:0378-620X
1420-8989
DOI:10.1007/s00020-020-02586-5