Date Thesis Awarded
5-2009
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Chi-Kwong Li
Committee Members
Leiba Rodman
C. Ryan Vinroot
Shiwei Zhang
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
Recommended Citation
Clark, Sean Ian, "A Study Of Multiplicative Preservers" (2009). Undergraduate Honors Theses. William & Mary. Paper 278.
https://scholarworks.wm.edu/honorstheses/278
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Comments
Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.