Core-nilpotent endomorphisms of infinite-dimensional vector spaces

DOI10.1007/s00009-021-01732-6zbMath1464.15003OpenAlexW3139266811MaRDI QIDQ2024728

Fernando Pablos Romo

Publication date: 4 May 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01732-6

zbMATH Keywords

Drazin inversegroup inversecore-nilpotent decompositionlinear mapinfinite linear systemreflexive generalized inverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• Explicit solutions of infinite systems of linear equations from reflexive generalized inverses of finite potent endomorphisms
• Classification of finite potent endomorphisms
• On the group-inverse of a linear transformation
• Pseudo-Inverses in Associative Rings and Semigroups
• Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms
• On the Drazin inverse of finite potent endomorphisms
• On Tate's trace
• Residues of differentials on curves