Edwards' Theorem and Matrix-Valued Functions

Year 2025, Early Access, 1 - 16

Umutcan Erdur , Nihat Gökhan Göğüş

https://doi.org/10.15672/hujms.1478167

Abstract

We extend several notions such as semi-continuity and Jensen measures for matrix-valued functions. For that purpose, we introduce Γ-order on noncommutative matrix spaces. Afterward, we generalize the Edwards’ Theorem for a noncommutative matrix space by exploiting properties of Γ-order given on the matrix space which we consider.

Keywords

Matrix-valued functions, Jensen measures, Edwards’ Theorem

Ethical Statement

The authors have no competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Supporting Institution

TUBITAK

Project Number

123F356

References

• [1] C. D. Aliprantis and O. Burkinshaw, Positive Operators, Springer, 2006.