2024/05/28 by Javier Alejandro Chávez‐Domínguez, Chávez-Domínguez, Javier Alejandro, Verónica Dimant +3
Decision Sciences · Mathematics · #26B28 (secondary) #46B28 (secondary) 46L07 (primary) #46L07 (primary) #47B10 #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Operator Algebras (math.OA) #Rings, Modules, and Algebras
paper · doi:10.48550/arxiv.2405.18571
openalex publication_date 2024/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We continue our study of the mapping ideal of operator p-compact maps, previously introduced by the authors. Our approach embraces a more geometric perspective, delving into the interplay between operator p-compact mappings and matrix sets, specifically we provide a quantitative notion of operator p-compactness for the latter. In particular, we consider operator p-compactness in the bidual and its relation with this property in the original space. Also, we deepen our understanding of the connections between these mapping ideals and other significant ones (e.g., completely p-summing, completely p-nuclear).