2026-08-28T00:48:32Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1640642026-01-20T11:08:19Zcom_10366_4540com_10366_4512com_10366_3823com_10366_4146com_10366_4055com_10366_3946col_10366_4541col_10366_4147

Pablos Romo, Fernando 2021 [EN]The aim of this work is to develop a general theory of core-nilpotent endomorphisms of arbitrary vector spaces, such that endomorphisms of finite-dimensional vector spaces and finite potent endomorphisms of infinite-dimensional vector spaces are particular cases of the CN-endomorphisms studied in this theory. For these CN-endomorphisms, we introduce an index that generalizes the index of a finite square matrix and we prove the existence of the Drazin inverse and reflexive generalized inverses. In particular, we characterize all endomorphisms that have Drazin inverse on arbitrary vector spaces. Moreover, we offer a method to study infinite linear systems associated with CN-endomorphisms. application/pdf http://hdl.handle.net/10366/164064 eng Springer 12 Matemáticas Core-Nilpotent Endomorphisms of Infinite-Dimensional Vector Spaces info:eu-repo/semantics/article TEXT Gredos. Repositorio Documental de la Universidad de Salamanca Hispana