Preprint No. A-01-01

Dirk Werner

Recent progress on the Daugavet property

Abstract: We survey some new results on Banach spaces satisfying the Daugavet property, i.e., spaces on which every compact operator $T$ satisfies $\|Id+T\|=1+\|T\|$.

Keywords: Daugavet property, rich subspace, narrow operator, unconditional basis

Mathematics Subject Classification (MSC2000): Primary 46B20. Secondary 46B04, 47B38

Language: ENG

Available: Pr-A-01-01.ps

Contact: Dirk Werner, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (werner@math.fu-berlin.de)

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