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  1. No Access

    Article

    A Lichnerowicz vanishing theorem for the maximal Roe algebra

    We show that if a countable discrete group acts properly and isometrically on a spin manifold of bounded Riemannian geometry and uniformly positive scalar curvature, then, under a suitable condition on the gro...

    Hao Guo, Zhizhang **e, Guoliang Yu in Mathematische Annalen (2023)

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    Article

    Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature

    We formulate, for any Lie group G acting isometrically on a manifold M, the general notion of a G-equivariant elliptic operator that is invertible outside of a G-cocompact subset of M. We prove a version of the R...

    Hao Guo in The Journal of Geometric Analysis (2021)

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    Article

    Multiplier convergent series and uniform convergence of map** series

    In this paper, we introduce the frame property of complex sequence sets and study the uniform convergence of nonlinear map** series in β-dual of spaces consisting of multiplier convergent series.

    HAO GUO, RONGLU LI in Proceedings - Mathematical Sciences (2013)

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    Article

    Matrix transformations of l q (X) to l p (Y)

    Let X and Y be Banach spaces, 0 < q < +∞, 1 ≤ p < +∞. In this paper, we characterize matrix transformations of l q (X) to l p ...

    Hao Guo, Rong-lu Li, Jun-de Wu in Applied Mathematics-A Journal of Chinese Universities (2012)