The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers
Sign Up to like & getrecommendations! Published in 2018 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1520-1
Abstract: 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… read more here.
Keywords: drazin inverses; triangular matrices; preservers drazin; infinite triangular ... See more keywords
Left and right generalized Drazin inverses for closed operators and application to singular linear equations
Sign Up to like & getrecommendations! Published in 2021 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2021.51.225
Abstract: We define and study left and right generalized Drazin inverses for a closed densely defined linear operator in a Hilbert space. These operators are characterized by means of the generalized Kato decomposition and the single-valued… read more here.
Keywords: left right; right generalized; inverses closed; generalized drazin ... See more keywords