Yifeng Xue

activity

20092014

most citedDeterminant Rank of C*-algebras

18 citations · 35 across the 19 of their papers we have counts for

collaborators

Showing 2012Show all

7 papers · 1 filter

math.FA2012★ 2 cited

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 $p$ and $q$ . Some new characterizations and…

math.OA2012★ 3 cited

Completeness of $n$ --tuple of projections in $C^{*}$ --algebras

Shanwen Hu, Yifeng Xue

Let $(P_{1}, ..., P_{n})$ be an $n$ --tuple of projections in a unital $C^{*}$ --algebra $a ˚$ . We say $\pn$ is complete in $a ˚$ if $a ˚$ is the linear direct sum of the closed subspaces $P_1å,..…

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}^…

The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras

Completeness of n--tuple of projections in C∗--algebras

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

Completeness of $n$ --tuple of projections in $C^{*}$ --algebras

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

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