不定内积空间上可伴算子的加权摩尔-彭罗斯逆

Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190306

Mengjie Qin, Qingxiang Xu, Ali Zamani

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引用次数: 3

摘要

．给出了加权Moore-Penrose逆A†MN存在的充分必要条件，其中A是Hilbert C * -模之间的可合算子，且权M和权N仅自伴且可逆。当A固定时，明确了加权Moore-Penrose逆A†MN之间的关系，而M和N是可变的。给出了加权Moore-Penrose逆的摄动分析。

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WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES

. Necessary and suﬃcient conditions are provided under which the weighted Moore–Penrose inverse A † MN exists, where A is an ad- jointable operator between Hilbert C ∗ -modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore–Penrose inverses A † MN is clariﬁed when A is ﬁxed, whereas M and N are variable. Perturbation analysis for the weighted Moore–Penrose inverse is also provided.

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