Linear preservers of the essential ascent and essential descent

DOI10.1007/s12215-017-0309-7OpenAlexW2614212135MaRDI QIDQ1783569

Mourad Oudghiri, Khalid Souilah

Publication date: 21 September 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-017-0309-7

zbMATH Keywords

linear preserver problemsessential ascentessential descent

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear spaces and algebras of operators (47L99)

Cites Work

• Uniform ascent and descent of bounded operators
• Linear maps preserving semi-Fredholm operators and generalized invertibility
• On the axiomatic theory of spectrum II
• Linear maps preserving the set of Fredholm operators
• Ranges of Products of Operators
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