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math.RA2023
The converse of the Cowling--Obrechkoff--Thron theorem
Devon N. Munger, Pietro Paparella
In this work, the converse of the Cowling--Obrechkoff--Thron theorem is established. In addition to its theoretical interest, the result fills a gap in the proof of Kellogg's celeb…
math.RA2023
Matrices whose field of values is inscribed in a polygon
Matthew J. Fyfe, Yesenia Hernandez, Pietro Paparella +1
In this work, it is shown that if is an -by- convexoid matrix (i.e., its field of values coincides with the convex hull of its eigenvalues), then the field of any …