Traces for Hilbert complexes
نویسندگان
چکیده
We study a new notion of trace operators and spaces for abstract Hilbert complexes. introduce as quotient spaces/annihilators. characterize the kernels images related discuss duality relationships between spaces. elaborate that many properties classical boundary traces associated with Euclidean de Rham complex on bounded Lipschitz domains are rooted in general structure arrive at complexes can be formulated using show that, if admits stable “regular decompositions” compact lifting operators, then is Fredholm. Incarnations concepts results concrete case three-dimensional space will discussed throughout.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.109905