18 citations · 35 across the 19 of their papers we have counts for
19 papers
Determinant Rank of C*-algebras
Guihua Gong, Huaxin Lin, Yifeng Xue
Let be a unital -algebra and let be the group of unitaries of which are path connected to the identity. Denote by the closure of the commutator subgro…
Perturbation analysis of bounded homogeneous generalized inverses on Banach spaces
Jianbing Cao, Yifeng Xue
Let be Banach spaces and be a bounded linear operator. In this paper, we initiate the study of the perturbation problems for bounded homogeneous generalized in…
Perturbations and expressions of the Moore--Penrose metric generalized inverses and applications to the stability of some operator equations
Jianbing Cao, Yifeng Xue
In this paper, the problems of perturbation and expression for the Moore--Penrose metric generalized inverses of bounded linear operators on Banach spaces are further studied. By m…
Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces
Fapeng Du, Yifeng Xue
In this paper, we investigate the perturbation for the Moore-Penrose inverse of closed operators on Hilbert spaces. By virtue of a new inner product defined on , we give the exp…
Perturbation analysis for the generalized inverses with prescribed idempotents in Banach algebras
Jianbing Cao, Yifeng Xue
In this paper, we first study the perturbations and expressions for the generalized inverses , , and with prescr…
The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras
Jianbing Cao, Yifeng Xue
In this paper, we investigate the various different generalized inverses in a Banach algebra with respect to prescribed two idempotents and . Some new characterizations and…