Narrow operators and rich subspaces of Banach spaces with the Daugavet property

dc.creatorKadets, Vladimir
dc.creatorShvidkoy, Roman
dc.creatorWerner, Dirk
dc.date2000-05-30
dc.date2001-03-22
dc.date.accessioned2026-07-07T04:35:36Z
dc.date.available2026-07-07T04:35:36Z
dc.descriptionLet $X$ be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on $X$ which depend only on the norms of images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of $X$ previously studied in the context of the classical spaces $C(K)$ and $L_1(μ)$.
dc.descriptionLaTeX2e, 29 pages; Studia Math. (to appear)
dc.identifierhttps://arxiv.org/abs/math/0005278
dc.identifierhttp://arxiv.org/abs/math/0005278
dc.identifierStudia Math. 147 (2001), 269-298.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59303
dc.subjectFunctional Analysis
dc.subject46B20; 46B04; 47B38
dc.titleNarrow operators and rich subspaces of Banach spaces with the Daugavet property
dc.typetext

Files

Collections