Abstract
Recently C.-K. Li and F. Zhang gave a short proof of S.W. Drury’s result that the trace norm preserves positive semidefiniteness of 3 ×3 partitioned positive semidefinite matrices. Slightly generalizing Li and Zhang’s proof we obtain a more general result under the assumption that all matrices on the principal diagonal are of the same size. Also, we answer a question asked by Marcus and Watkins in 1971.
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Klotz, L., Mädler, C. (2018). An Addendum to a Paper by Li and Zhang. In: Alpay, D., Kirstein, B. (eds) Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations. Operator Theory: Advances and Applications(), vol 263. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-68849-7_15
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DOI: https://doi.org/10.1007/978-3-319-68849-7_15
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