A Note on von Neumann's Trace Inequalitv
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The von Neumann trace inequality holds for any complex n by n matrices with descending singular values.
“Inequality (7) holds for any complex n  n matrices A 1 and A 2 with descending singular values, 1;1 ! . . .! 1;n and 2;1 ! . . .! 2;n .”
From Quantum Speed Limit for Non-Markovian Dynamics (2013) · cites this paper as [23]
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- Authors
- Grigorieff, R. D.
- Affiliations
- Technische Universität Berlin (DE)
- Corresponding author
- Grigorieff, Rolf Dieter
- Venue
- Mathematische Nachrichten
- Publisher
- Wiley
- Published
- 1991-01
- Volume
- 151
- Issue
- 1
- Pages
- 327-328
- ISSN
- 0025-584X (ISSN-L)
- 1522-2616
- OpenAlex
- W2069075418
- Cited by
- 25
- References
- 6
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 1 · 2023: 1 · 2022: 3 · 2017: 5 · 2016: 2 · 2015: 2 · 2014: 3 · 2013: 4 · 2012: 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Mathematische Nachrichten (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Inequalities and Applications
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Banach Space Theory
- Keywords
- trace inequalities, matrix inequalities, eigenvalues, singular values
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