2014/08/04 by Pattrawut Chansangiam, Chansangiam, Pattrawut
Computer Science · Mathematics · #47A63 #47A64 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #math.FA #msc:47A63 #msc:47A64
paper · pdf · doi:10.48550/arxiv.1408.0597
arxiv created 2014/08/04 · openalex publication_date 2014/08/04 · arxiv updated 2014/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An operator connection is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above and the transformer inequality. In this paper, we introduce and characterize the concepts of cancellability and regularity of operator connections with respect to operator monotone functions, Borel measures and certain operator equations. In addition, we investigate the existence and the uniqueness of solutions for such operator equations.