Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Fapeng Du"'
Autor:
M. Zuhair Nashed, Fapeng Du
Publikováno v:
Numerical Functional Analysis and Optimization. 41:1728-1740
In this paper, we introduce the notion of stable perturbation of a subspace in Banach space. Utilizing this notion and the gap between subspaces, we develop a perturbation analysis for the oblique ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e61e5c3a8e8927880b398675cf6bfbd4
https://doi.org/10.1080/01630563.2020.1813163
https://doi.org/10.1080/01630563.2020.1813163
Autor:
M. Zuhair Nashed, Fapeng Du
Publikováno v:
Filomat. 32:6131-6144
In this paper, we present some characteristics and expressions of the core inverse A# of bounded linear operator A in Hilbert spaces. Additive perturbations of core inverse are investigated under the condition R( ?)?N(A#) = {0} and an upper bound of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::842dc6344c245d3764bb8f62ba06c3a4
https://doi.org/10.2298/fil1817131d
https://doi.org/10.2298/fil1817131d
Autor:
Fapeng Du, Jianlong Chen
Publikováno v:
Ann. Funct. Anal. 7, no. 2 (2016), 240-253
In this paper, we characterize the perturbations of the Moore–Penrose metric generalized inverse of closed operator in Banach spaces. Under the condition $R(\delta T)\subset R(T)$ , $N(T)\subset N(\delta T)$ , respectively, we get some new results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdddaea0acb2bf6683b2c21de49d233b
https://doi.org/10.1215/20088752-3462434
https://doi.org/10.1215/20088752-3462434
Autor:
Fapeng Du
Publikováno v:
Filomat. 30:2155-2164
Let $A,X,Y$ be bounded linear operators. In this paper, we present the explicit expression for the Moore--Penrose inverse of $A-XY$. In virtue of the expression of $(A+X)^\dag$, we get the upper bounds of $\|(A+X)^\dag\|$ and $\|(A+X)^\dag-A^\dag\|$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9390ae304133a5894afb9743a25dab14
https://doi.org/10.2298/fil1608155d
https://doi.org/10.2298/fil1608155d
Autor:
FAPENG DU1,2 jsdfp@163.com, YIFENG XUE3 yfxue@math.ecnu.edu.cn
Publikováno v:
Kyungpook Mathematical Journal. Jun2015, Vol. 55 Issue 2, p251-258. 8p.
Autor:
Fapeng Du, Yifeng Xue
Publikováno v:
Filomat. 28:1103-1112
In this paper, we present the explicit expression for the group inverse of the sum of two matrices. As an application, the explicit expression for the group inverse of the anti-triangular block matrix $\begin{pmatrix}A&B\\C&0\end{pmatrix}$ and $\begi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b11e33d6bdbfd6751bb023e8140529b
https://doi.org/10.2298/fil1406103d
https://doi.org/10.2298/fil1406103d
Autor:
Fapeng Du, Yifeng Xue
Publikováno v:
Filomat. 27:65-74
Let $\R $ be a ring with unit 1 and $a\in \R, \bar{a}=a+��a\in \R $ such that $a^#$ exists. In this paper, we mainly investigate the perturbation of the group inverse $a^#$ on $\R$. Under the stable perturbation, we obtain the explicit expression
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b38945dffacd2a823b2f1e25aa564fe
https://doi.org/10.2298/fil1301065d
https://doi.org/10.2298/fil1301065d
Autor:
Fapeng Du
Publikováno v:
Banach J. Math. Anal. 9, no. 4 (2015), 100-114
Utilizing the gap between homogenous subsets which is introduced in this paper, the perturbations for the Moore--Penrose metric generalized inverses of bounded linear operators in Banach spaces are discussed. Under range--preseving, kernel--preseving
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdca4fc7031a36315ef7a07630cf38a8
http://projecteuclid.org/euclid.bjma/1429286059
http://projecteuclid.org/euclid.bjma/1429286059
Autor:
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 expression of the Moore-Penrose inverse $\bar{T}^\dag$ and the upper boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbdd63ef5fb5b6096a3d1350951a39f9
http://arxiv.org/abs/1301.7484
http://arxiv.org/abs/1301.7484
Autor:
Yifeng Xue, Fapeng Du
In this paper, we investigate the invertibility of $I_Y+\delta TT^+$ when $T$ is a closed operator from $X$ to $Y$ with a generalized inverse $T^+$ and $\delta T$ is a linear operator whose domain contains $D(T)$ and range is contained in $D(T^+)$. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4cc2c1ca75950a840cfadb010dd5202e
http://arxiv.org/abs/1209.1766
http://arxiv.org/abs/1209.1766