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Closed operator ideals and interpolation
Authors:Stefan Heinrich
Institution:Zentralinstitut für Mathematik und Mechanik der Akademie der Wissenschaften der DDR, 108 Berlin, German Democratic Republic
Abstract:We consider closed operator ideals, which mean operator ideals A whose components A(E, F) are closed subspaces of the space L(E, F). Using interpolation techniques, we obtain general results on products of closed ideals. Furthermore, we investigate which closed ideals A possess the factorization property, i.e., each operator of A factors through a space with the related property “A”. Applications of these results yield the answer to some open questions in ideal theory.
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