Additive Drazin inverse preservers

DOI10.1016/j.laa.2007.05.020zbMath1131.47035OpenAlexW2045337745MaRDI QIDQ996300

Jian Lian Cui

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.020

zbMATH Keywords

additive preserversDrazin inverse of operators

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (6)

Strongly preserver problems in Banach algebras and \(C^{\ast}\)-algebras ⋮ Maps completely preserving involutions and maps completely preserving Drazin inverse ⋮ The Drazin inverses of infinite triangular matrices and their linear preservers ⋮ Approximate preservers on Banach algebras and \(C^*\)-algebras ⋮ Maps preserving Drazin invertible operator matrices with non-singular Schur complement ⋮ Linear maps preserving Drazin inverses of matrices over local rings

Cites Work

• Unnamed Item
• Unnamed Item
• Linear preserver problems: A brief introduction and some special techniques
• The Drazin inverse in multibody system dynamics
• Some general techniques on linear preserver problems
• Linear maps preserving Drazin inverses of matrices over fields
• Linear maps and additive maps that preserve operators annihilated by a polynomial
• Additive idempotence preservers
• Generalized inverses. Theory and applications.
• Sums of small numbers of idempotents
• Spectral analysis using ascent, descent, nullity and defect
• Additive operators preserving idempotent matrices over fields and applications
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• Pseudo-Inverses in Associative Rings and Semigroups
• Linear maps preserving essential spectral functions and closeness of operator ranges
• Updating finite markov chains by using techniques of group matrix inversion
• APPLICATIONS OF THE DRAZIN INVERSE TO THE HILL CRYPTOGRAPHIC SYSTEM. PART III.
• Iterative Consistency: A Concept for the Solution of Singular Systems of Linear Equations
• Local multiplications on algebras spanned by idempotents

This page was built for publication: Additive Drazin inverse preservers