[Banach] 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