2024/10/01 by Diego J. Cornejo, Cornejo, Diego J. · 1 citation
Chemistry · #Axial and Atropisomeric Chirality Synthesis #Chemical Synthesis and Reactions #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Synthesis and Properties of Aromatic Compounds
paper · pdf · doi:10.48550/arxiv.2410.01090
openalex publication_date 2024/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents an in-depth analysis of a parametrized version of the resolvent composition, an operation that combines a set-valued operator and a linear operator. We provide new properties and examples, and show that resolvent compositions can be interpreted as parallel compositions of perturbed operators. Additionally, we establish new monotonicity results, even in cases when the initial operator is not monotone. Finally, we derive asymptotic results regarding operator convergence, specifically focusing on graph-convergence and the ρ-Hausdorff distance.