Edwards' Theorem and matrix-valued functions

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

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-01-27
DOI
https://doi.org/10.15672/hujms.1478167
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

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article

Edwards' Theorem and matrix-valued functions

Nihat Gökhan Göğüş, Umutcan Erdur
Hacettepe Journal of Mathematics and Statistics
Advanced Topics in Algebra
article

Edwards' Theorem and matrix-valued functions

Nihat Gökhan Göğüş, Umutcan Erdur
article en

Abstract

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

Hacettepe Journal of Mathematics and StatisticsVol. 54(4)
Sabancı Üniversitesi (TR)
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu
Openalex Percentile: Top 97%
Advanced Topics in Algebra
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