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  1. No Access

    Article

    A Universal Inequality for Stability of Coarse Lipschitz Embeddings

    Let X and Y be two pointed metric spaces. In this article, we give a generalization of the Cheng–Dong–Zhang theorem for coarse Lipschitz embeddings as follows: If f:X → Y is a standard coarse Lipschitz embedding,...

    Duan Xu Dai, Ji Chao Zhang, Quan Qing Fang… in Acta Mathematica Sinica, English Series (2023)

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    Article

    On proximinality of convex sets in superspaces

    In this paper, we show that a closed convex subset C of a Banach space is strongly proximinal (proximinal, resp.) in every Banach space isometrically containing it if and only if C is locally (weakly, resp.) comp...

    Li **n Cheng, Zheng Hua Luo, Wen Zhang… in Acta Mathematica Sinica, English Series (2016)

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    Article

    Perturbations of frames

    In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder fram...

    Dong Yang Chen, Lei Li, Ben Tuo Zheng in Acta Mathematica Sinica, English Series (2014)

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    Article

    Three-space problems for the bounded compact approximation property

    In this paper, the notion of the bounded compact approximation property (BCAP) of a pair [Banach space and its subspace] is used to prove that if X is a closed subspace of L ∞ with the BCAP, then

    Dong Yang Chen, Ben Tuo Zheng in Acta Mathematica Sinica, English Series (2013)