Generalized Right Weighted Core Inverse in Banach Algebras
H.Y. Chen, Marjan Sheibani · Preprints.org · 2025
In this paper, we introduce the generalized right weighted core inverse, defined via the canonical polar decomposition using a right weighted core invertible element and a quasinilpotent. We present various characterizations of this new generalized inverse with weights and utilize these results to establish new properties of the right pseudo core inverse and the weighted core-EP inverse.