Abstract of a paper by Trond A. Abrahamsen Vegard Lima, and Olav Nygaard
This is an announcement for the paper "Super-ideals in Banach spaces" by Trond A. Abrahamsen Vegard Lima, and Olav Nygaard. Abstract: A natural class of ideals, super-ideals, of Banach spaces is defined and studied. The motivation for working with this class of subspaces is our observations that they inherit diameter 2 properties and the Daugavet property. Lindenstrauss spaces are known to be the class of Banach spaces which are ideals in every superspace; we show that being a super-ideal in every superspace characterizes the class of Gurarii spaces. Archive classification: math.FA Mathematics Subject Classification: 46B20 Remarks: 14 pages Submitted from: veli@hials.no The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1206.3539 or http://arXiv.org/abs/1206.3539
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