Fa-Peng Du

activity

20102013

collaborators

6 papers

math.FA2013

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 $H$ , we give the exp…

math.RA2012

The perturbation of the group inverse under the stable perturbation in a unital ring

Fapeng Du, Yifeng Xue

Let $R$ be a ring with unit 1 and $a \in R, a ˉ = a + δ a \in R$ such that $a^#$ exists. In this paper, we mainly investigate the perturbation of the group inverse $a^#$ on $R$ .…

math.NA2012

Perturbation analysis of $A_{T, S}^{(2)}$ on Hilbert spaces

Fapeng Du, Yifeng Xue

In this paper, we investigate the perturbation analysis of $A_{T, S}^{(2)}$ when $T, S$ and $A$ have some small perturbations on Hilbert spaces. We present the conditions that make…

math.NA2012

The characterizations of the stable perturbation of a closed operator by a linear operator in Banach spaces

Fapeng Du, Yifeng Xue

In this paper, we investigate the invertibility of $I_{Y} + δ T T^{+}$ when $T$ is a closed operator from $X$ to $Y$ with a generalized inverse $T^{+}$ and $δ T$ is a linear operator whose do…

math.NA2012

Perturbation analysis of $A_{T, S}^{(2)}$ on Banach spaces

Fapeng Du, Yifeng Xue

In this paper, the perturbation problems of $A_{T, S}^{(2)}$ are considered. By virtue of the gap between subspaces, we derive the conditions that make the perturbation of $A_{T,S}^…

math.FA2010

The expression of Moore--Penrose inverse of $A - X Y^{*}$

Fapeng Du, Yifeng Xue

Let $K, H$ be Hilbert spaces and let $L (K, H)$ denote the set of all bounded linear operators from $K$ to $H$ . Let $A \in L (H) ≜ L (H, H)$ with $R (A)$ closed and $X,Y \in L(K…

Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces

The perturbation of the group inverse under the stable perturbation in a unital ring

Perturbation analysis of AT,S(2)​ on Hilbert spaces

The characterizations of the stable perturbation of a closed operator by a linear operator in Banach spaces

Perturbation analysis of AT,S(2)​ on Banach spaces

The expression of Moore--Penrose inverse of A−XY∗

Perturbation analysis of $A_{T, S}^{(2)}$ on Hilbert spaces

Perturbation analysis of $A_{T, S}^{(2)}$ on Banach spaces

The expression of Moore--Penrose inverse of $A - X Y^{*}$