A pointwise norm on a non-reduced analytic space
نویسندگان
چکیده
Let X be a possibly non-reduced space of pure dimension. We introduce pointwise Hermitian norm on smooth (0,q)-forms, in particular holomorphic functions, X. The is canonical, up to equivalence, where the underlying reduced manifold. prove that functions complete with respect natural topology induced by this norm.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109520