左右广义Drazin可逆算子的左右解析和新刻画

Pub Date : 2023-01-01 DOI:10.2298/fil2301021o

Djalal Ounadjela, B. Messirdi, Sofiane Messirdi

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引用次数: 0

摘要

介绍了左、右广义Drazin可逆算子的左解和右解。左、右解析的构造使我们能够根据Laurent级数的系数找到左、右广义Drazin逆和相关的谱投影的新表示结果。利用范围、拟幂零部分和解析核，得到了左右广义Drazin可逆算子的基本刻画。

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Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators

Left and right resolvents of left and right generalized Drazin invertible operators are introduced in this paper. The construction of left and right resolvents allows us to find, in terms of the coefficients of Laurent series, new representation results for left and right generalized Drazin inverses and the associated spectral projections. Fundamental characterizations of left and right generalized Drazin invertible operators are also obtained, using essentially the range, the quasi-nilpotent part and the analytic core.

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