Positivity preservers forbidden to operate on diagonal blocks

The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., power series with nonnegative coefficients) preserve positivity on matrices of all...

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Veröffentlicht in:	Transactions of the American Mathematical Society 2023-08, Vol.376 (8), p.5261-5279
1. Verfasser:	Vishwakarma, Prateek Kumar
Format:	Artikel
Sprache:	eng
Schlagworte:	Research article
Online-Zugang:	Volltext
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