The Twisted Hilbert Space Ideals

DOI10.1007/S00020-022-02699-ZarXiv2112.03852WikidataQ114232085 ScholiaQ114232085MaRDI QIDQ6385039

Félix Cabello Sánchez, Ricardo García

Publication date: 7 December 2021

Abstract: We study those operators on a Hilbert space that can be lifted / extended to any twisted Hilbert space. We prove that these form an ideal of operators which contains all the Schatten classes. We characterize those multiplication operators on $el{l}_p$ that are liftable / extensible through centralizers.

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

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