ADDITIVE MAPS PRESERVING DRAZIN INVERTIBLE OPERATORS OF INDEX n

作者:Mbekhta Mostafa*; Oudghiri Mourad; Souilah Khalid
来源:Banach Journal of Mathematical Analysis, 2017, 11(2): 416-437.
DOI:10.1215/17538787-00011X

摘要

Given an integer n >= 2, in this article we provide a complete description of all additive surjective maps on the algebra of all bounded linear operators acting on an infinite-dimensional complex Banach space, preserving in both directions the set of Drazin invertible operators of index n.

  • 出版日期2017-4

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