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A Study Of Multiplicative Preservers

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Author: Clark, Sean Ian
Advisor: Li, Chi-Kwong
Committee Members: Rodman, Leiba; Vinroot, C. Ryan; Zhang, Shiwei
Issued Date: 2009-05-13
Subjects: Multiplicative preserver
Matrix products
Spectral radius
Matrix rank
Nonnegative matrices
Numerical range
URI: http://hdl.handle.net/10288/1199
Description: Let A*B be a product on matrices such as the usual matrix product A*B = AB, the entrywise product A*B = [a_{ij}b_{ij} ], and the Jordan triple product A*B = ABA. Characterizations of multiplicative maps with respect to * which leave certain functions of matrices invariant are given. These functions include the rank, eigenvalues, and higher rank numerical ranges of matrices
Degree: Bachelors of Science in Mathematics

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