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

• Autorzy: Vladimir M. Kadets , Roman V. Shvidkoy , Dirk Werner
• Języki publikacji: EN

Abstrakty

EN

Let 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 the 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 spaces X with the Daugavet property previously studied in the context of the classical spaces C(K) and L₁(μ).

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 46B20: Geometry and structure of normed linear spaces
• 46B04: Isometric theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 147
• Numer: 3
• Strony: 269-298

Daty

wydano

2001

Twórcy

autor

Vladimir M. Kadets

• Faculty of Mechanics and Mathematics, Kharkov National University, pl. Svobody 4, 61077 Kharkov, Ukraine
• Department of Mathematics, Freie Universität Berlin, Arnimallee 2-6, D-14195 Berlin, Germany

autor

Roman V. Shvidkoy

• Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A.

autor

Dirk Werner

• Department of Mathematics, Freie Universität Berlin, Arnimallee 2-6, D-14195 Berlin, Germany

Identyfikatory

DOI

10.4064/sm147-3-5