Additive maps on standard operator algebras preserving invertibilities or zero divisors.

DOI10.1016/S0024-3795(02)00419-6zbMath1042.47028MaRDI QIDQ1864974

Jian Lian Cui, Jin-Chuan Hou

Publication date: 23 March 2003

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

zbMATH Keywords

isomorphismsinvertibilityzero divisorsstandard operator algebras

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 (13)

Additive mappings preserving Fredholm operators with fixed nullity or defect ⋮ Fixed product preserving mappings on Banach algebras ⋮ Nonlinear maps preserving semi-Fredholm operators with bounded nullity ⋮ Algebraic properties of isometries between groups of invertible elements in Banach algebras ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Kakutani's automorphism theorem for vector-valued bounded holomorphic functions ⋮ Nonlinear maps preserving certain subspaces ⋮ Additive maps preserving the ascent and descent of operators ⋮ Additive maps preserving operators of inner local spectral radius zero ⋮ Nonlinear maps preserving the minimum and surjectivity moduli ⋮ On additive maps preserving certain semi-Fredholm subsets ⋮ Additive Maps Preserving the Inner Local Spectral Radius ⋮ DETERMINANT AND SPECTRUM PRESERVING MAPS ON M_n

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• Linear mappings preserving square-zero matrices
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• Invertibility preserving linear maps on ℒ(𝒳)
• On nonseparable reflexive Banach spaces

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