Maps preserving the square zero of η-Lie product of operators
DOI:
https://doi.org/10.22199/issn.0717-6279-2020-03-0036Keywords:
Preserver problem, Square zero operator, η-Lie productAbstract
Let B(H) be the algebra of all bounded linear operators on an infinite dimensional Hilbert space ℋ. In this paper, we identify the form of the unital surjective additive map φ : B(H) → B(H)which preserves the square zero of η-Lie product of operators for some scalar η with η ≠ 0, 1, −1.
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Copyright (c) 2020 Ali Taghavi, Roja Hosseinzadeh, Masoomeh Yousefi
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