2020/02/29 by Brooks, Cara D., Condori, Alberto A., Seguin, Nicholas
#15A18 #47A10 (Primary) 15A60 #47A56 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP)
paper · doi:10.48550/arxiv.2003.00169
Given two d× d matrices, say A and B, when do p(A) and p(B) have the same ``size'' for every polynomial p? In this article, we provide definitive results in the cases d=2 and d=3 when the notion of size used is the spectral norm.