ALMOST ISOMETRIC IDEALS IN BANACH SPACES
2013 ◽
Vol 56
(2)
◽
pp. 395-407
◽
AbstractA 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.
2011 ◽
Vol 59
(2)
◽
pp. 185-196
◽
2008 ◽
Vol 254
(8)
◽
pp. 2294-2302
◽
2020 ◽
Vol 63
(2)
◽
pp. 475-496
Keyword(s):
2001 ◽
Vol 111
(1-2)
◽
pp. 3-13
◽
2008 ◽
Vol 56
(2)
◽
pp. 131-147
◽
2019 ◽
pp. 1-20
◽
2018 ◽
Vol 12
(1)
◽
pp. 68-84
◽
1999 ◽
Vol 352
(2)
◽
pp. 855-873
◽