Geodesic
ALMOST ISOMETRIC IDEALS IN BANACH SPACES
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 395-407

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DOI

A natural class of ideals, almost isometric ideals, of Banach spaces is defined and studied. The motivation for working with this class of subspaces is our observation that they inherit diameter 2 properties and the Daugavet property. Lindenstrauss spaces are known to be the class of Banach spaces that are ideals in every superspace; we show that being an almost isometric ideal in every superspace characterizes the class of Gurariy spaces.
DOI : 10.1017/S0017089513000335
Mots-clés : 46B20, 46B04 
ABRAHAMSEN, TROND A.; LIMA, VEGARD; NYGAARD, OLAV. ALMOST ISOMETRIC IDEALS IN BANACH SPACES. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 395-407. doi: 10.1017/S0017089513000335
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     author = {ABRAHAMSEN, TROND A. and LIMA, VEGARD and NYGAARD, OLAV},
     title = {ALMOST {ISOMETRIC} {IDEALS} {IN} {BANACH} {SPACES}},
     journal = {Glasgow mathematical journal},
     pages = {395--407},
     year = {2014},
     volume = {56},
     number = {2},
     doi = {10.1017/S0017089513000335},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000335/}
}
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