The Moore--Penrose inverse of differences and products of projectors in a ring with involution

DOI10.3906/mat-1405-1zbMath1438.16072arXiv1412.2976OpenAlexW2963404019MaRDI QIDQ4633689

Huihui Zhu, Pedro Patrício, Jian-Long Chen

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2976

zbMATH Keywords

involutionsprojectorsMoore-Penrose inversesnormal elements

Mathematics Subject Classification ID

Generalized inverses (associative rings and algebras) (16U90)

Related Items (1)

On the minus partial order in control systems

Cites Work

• Moore-Penrose inverse in rings with involution
• The difference and sum of projectors
• Moore-Penrose invertibility of differences and products of projections in rings with involution
• The Moore-Penrose inverses of products and differences of projections in a \(C^*\)-algebra
• The Drazin inverses of products and differences of orthogonal projections
• Commuting properties of generalized inverses
• Further results on the Moore–Penrose invertibility of projectors and its applications
• On generalized inverses in C*-algebras
• Elements of rings with equal spectral idempotents
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