The Drazin inverse of the linear combinations of two idempotents in the Banach algebra

DOI10.1016/j.laa.2011.10.022zbMath1251.46027arXiv0906.1406OpenAlexW2962937753MaRDI QIDQ417434

Junde Wu, Shifang Zhang

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1406

zbMATH Keywords

idempotentsDrazin inverse

Mathematics Subject Classification ID

General theory of topological algebras (46H05) General theory of topological algebras with involution (46K05)

Related Items (11)

Unnamed Item ⋮ Classification of the finite-dimensional algebras generated by two tightly coupled idempotents. ⋮ Drazin and group invertibility in algebras spanned by two idempotents ⋮ On the Drazin inverse of the linear combinations of two idempotents in a complex Banach algebra ⋮ Generalized Drazin invertibility of combinations of idempotents ⋮ Drazin Invertibility in a Certain Finite-Dimensional Algebra Generated by Two Idempotents ⋮ Group inversion in certain finite-dimensional algebras generated by two idempotents ⋮ On certain finite-dimensional algebras generated by two idempotents ⋮ The group inverse and core inverse of sums of two elements in a ring ⋮ The Drazin and generalized Drazin invertibility of linear combinations of idempotents ⋮ The core inverses of linear combinations of two core invertible matrices

Cites Work

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• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains

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