The Daugavet property for pairs of Banach spaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 253-263
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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 $L_1[0,1]$.
@article{JMAG_1999_6_3_a5,
author = {V. M. Kadets and R. V. Shvidkoy},
title = {The {Daugavet} property for pairs of {Banach} spaces},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {253--263},
year = {1999},
volume = {6},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a5/}
}
V. M. Kadets; R. V. Shvidkoy. The Daugavet property for pairs of Banach spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 253-263. http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a5/