We consider the ring of all infinite (ℕ × ℕ) upper triangular matrices over a field F. We give the description of elements that are Drazin invertible in this ring. In the case where F is such that char(F) ≠ 2 and |F| > 4, we find the form of linear preservers for the Drazin inverses.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 4, pp. 534–548, April, 2018.
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Słowik, R. The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers. Ukr Math J 70, 614–631 (2018). https://doi.org/10.1007/s11253-018-1520-1
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DOI: https://doi.org/10.1007/s11253-018-1520-1