Zero product determined some nest algebras

DOI10.1016/j.laa.2012.07.031zbMath1272.47089OpenAlexW2022061504MaRDI QIDQ1932605

Hoger Ghahramani

Publication date: 21 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.07.031

zbMATH Keywords

nest algebrazero product determined algebrazero Jordan product determined algebrazero Lie product determined algebra

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49) Nest algebras, CSL algebras (47L35)

Related Items (5)

A class of zero product determined Banach algebras ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX ⋮ ON RINGS DETERMINED BY ZERO PRODUCTS ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)

Cites Work

• Unnamed Item
• Idempotent elements determined matrix algebras
• A class of zero product determined Lie algebras
• On bilinear maps on matrices with applications to commutativity preservers.
• Zero product determined matrix algebras
• Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
• Sums of small numbers of idempotents
• Zero product determined classical Lie algebras
• Maps preserving zero products
• Generalizations of Certain Nest Algebra Results
• Characterizing homomorphisms and derivations on C*-algebras

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