Date Thesis Awarded

5-2009

Document Type

Honors Thesis

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Chi-Kwong Li

Committee Member

Leiba Rodman

Committee Member

C. Ryan Vinroot

Committee Member

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

Creative Commons License

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.

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