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<p>This paper completely describes the form of all unital additive surjective maps, on the algebra of all bounded right linear operators acting on a two-sided quaternionic Banach space, that preserve any one of (left, right) invertibility, (left, right) zero divisors and (left, right) topological divisors of zero in both directions.</p>

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Additive Preservers of Invertibility or Zero Divisors in Quaternionic Setting

  • 期刊论文

  • 发表日期：

    2025年4月22日

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  • El Miloud Ouahabi,
  • Khalid Souilah

摘要

This paper completely describes the form of all unital additive surjective maps, on the algebra of all bounded right linear operators acting on a two-sided quaternionic Banach space, that preserve any one of (left, right) invertibility, (left, right) zero divisors and (left, right) topological divisors of zero in both directions.