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A Study Of Multiplicative Preservers
Clark, Sean Ian
Clark, Sean Ian
Abstract
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
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Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.
Date
2009-05-13
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Keywords
Multiplicative preserver, Matrix products, Spectral radius, Matrix rank, Nonnegative matrices, Numerical range
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Department
Mathematics