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What is K-Power Preservers in Matrix Theory about?

This document provides an introduction and literature review for the topic of linear maps that preserve k-powers of matrices or the trace of power-product of matrices. It discusses prior work characterizing such maps on various matrix spaces. The document then outlines the main results of the paper, which characterize linear k-power preservers on spaces like Mn, Hn, Sn, Pn, Dn, and Tn. It also characterizes maps φ, ψ that preserve the trace of the k-th power of the product of matrices when one or both maps

Author

lkjggfddd

Language

EN