Zobrazeno 1 - 10 of 22 pro vyhledávání: '"JIANBING CAO"'
1
The Sherman–Morrison–Woodbury formula for the Moore–Penrose metric generalized inverse
Autor: Jianbing Cao, Dongwei Shi
Publikováno v: Linear and Multilinear Algebra. 68:972-982
In this paper, we focus on the Moore–Penrose metric generalized inverse of the modified operator B=A+UGV, where A,U,G,V are bounded linear operators between some Banach spaces. We establish conditi...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8037bb39668e3f058d2ca6350d3ed043
https://doi.org/10.1080/03081087.2018.1523863
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2
Perturbation analysis of the Moore–Penrose metric generalized inverse with applications
Autor: Yifeng Xue, Jianbing Cao
Publikováno v: Banach J. Math. Anal. 12, no. 3 (2018), 709-729
In this article, based on some geometric properties of Banach spaces and one feature of the metric projection, we introduce a new class of bounded linear operators satisfying the so-called $(\alpha,\beta)$ -USU (uniformly strong uniqueness) property.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f71329231cf6d96caa0e3347a7fdbc08
https://doi.org/10.1215/17358787-2017-0064
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4
Perturbation bounds for the Moore–Penrose metric generalized inverse in some Banach spaces
Autor: Jianbing Cao, Wanqin Zhang
Publikováno v: Ann. Funct. Anal. 9, no. 1 (2018), 17-29
Let $X,Y$ be Banach spaces, and let $T$ , $\delta T:X\to Y$ be bounded linear operators. Put $\bar{T}=T+\delta T$ . In this article, utilizing the gap between closed subspaces and the perturbation bounds of metric projections, we first present some e
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84273425421933b80baa901726220e65
https://doi.org/10.1215/20088752-2017-0020
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5
Perturbation bounds for the metric projection of a point onto a linear manifold in reflexive strictly convex Banach spaces
Autor: Hongwei Jiao, Jianbing Cao
Publikováno v: Filomat. 32:6829-6836
In this paper, by using some recent perturbation bounds for the Moore-Penrose metric generalized inverse, we present some results on the perturbation analysis for projecting a point onto a linear manifold in reflexive strictly convex Banach spaces. T
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f743275779bb6b5ad35200c9382ba0d8
https://doi.org/10.2298/fil1819829c
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7
Stability of Quadratic Functional Equationin Two Variables
Autor: Jianbing Cao
Publikováno v: Applied Mathematics and Physics. 5:95-98
In this paper, we establish the general solution of a 2-variable quadratic functional equation f(2x+y,2z+w)=f(x+y,z+w)-f(x-y,z-w)+4f(x,z)+f(y,w) and prove the generalized Hyers-Ulam stability of this functional equation.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::953d9581ef0d01347df4f478540dc143
https://doi.org/10.12691/amp-5-3-3
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8
Generalization of the Pecaric-Rajic Inequality in a Quasi-Banach Space
Autor: Jianbing Cao
Publikováno v: Advances in Pure Mathematics. :467-471
In the present paper, we shall give an extension of the well known Pecaric-Rajic inequality in a quasi-Banach space, we establish the generalized inequality for an arbitrary number of finitely many nonzero elements of a quasi-Banach space, and obtain
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2d29d3402c4b04d95e2ead6f74397f83
https://doi.org/10.4236/apm.2017.79031
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