Faculty Publications

SelectedWorks Author Profiles:

Lon Mitchell

Document Type

Article

Publication Date

2020

Date Issued

2020-1

ISSN

2300-7451

Abstract

We prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, whose diagonal entries are integers, and whose non-zero off-diagonal entries have modulus at least one, has trace at least n + r-1.

Publisher

De Gruyter

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Included in

Mathematics Commons

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