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arXiv · 1206.3539

Almost isometric ideals in Banach spaces

Trond A. Abrahamsen·Vegard Lima·Olav Nygaard
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Abstract

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.

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Trond A. Abrahamsen, Vegard Lima, Olav Nygaard. 2013-06-20. Almost isometric ideals in Banach spaces. https://arxiv.org/abs/1206.3539

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