This article is cited in 1 paper

The Daugavet property for pairs of Banach spaces

V. M. Kadets, R. V. Shvidkoy

Kharkov State University, 4 Svobody Sq., 310077, Kharkov, Ukraine

Abstract: We prove that if a separable Banach space $Y$ contains $C[0,1]$, then $Y$ can be renormed so that the pair $(C[0,1],Y)$ has the Daugavet property with respect to narrow operators. A similar result is proved for $L_1[0,1]$.

Received: 07.05.1997

Language: English

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