A matrix formula for Schur complements of nonnegative selfadjoint linear relations
نویسندگان
چکیده
If a nonnegative selfadjoint linear relation A in Hilbert space and closed subspace S are assumed to satisfy that the domain of is invariant under orthogonal projector onto S, then admits particular matrix representation with respect decomposition S⊕S⊥. This used give explicit formulae for Schur complement on as well S-compression A.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2022
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2022.09.003