KnowraCompact operatorLinked fromLinked fromThe 9 pages that link to Compact operator, each with the reason it gives.All 9Broader topic 2Related 5Narrower topic 2Fredholm operatorRelated: Compact perturbations preserve Fredholmness and leave the index unchanged.Spectral theoremRelated: Compact self-adjoint operators admit an orthonormal eigenbasis after accounting for the kernel.Schauder fixed-point theoremRelated: Compactness of the image often supplies the compact set needed for Schauder’s theorem.Fredholm's theoremRelated: Compact perturbations of the identity provide the standard setting for the theorem.Riesz's lemmaRelated: Riesz's lemma helps show the identity operator on an infinite-dimensional normed space is not compact.