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Reference.org
Distortion problem
open-in-new
See also
Tsirelson space
Banach space
James, R.C.
(1964), "Uniformly nonsquare Banach spaces",
Annals of Mathematics
, 80 (2): 542–550,
doi
:
10.2307/1970663
.
Milman, V.D.
(1971), "Geometry of Banach spaces II, geometry of the unit sphere",
Russian Mathematical Surveys
, 26: 79–163,
Bibcode
:
1971RuMaS..26...79M
,
doi
:
10.1070/RM1971v026n06ABEH001273
.
Odell, E.
; Schlumprecht, Th. (2003), "Distortion and asymptotic structure", in Johnson; Lindenstrauss (eds.),
Handbook of the geometry of Banach spaces, Volume 2
, Elsevier,
ISBN
978-0-444-51305-2.
Odell, E.; Schlumprecht, Th. (1993), "The distortion problem of Hilbert space",
Geometric and Functional Analysis
, 3: 201–207,
doi
:
10.1007/BF01896023
,
ISSN
1016-443X
,
MR
1209302
.
Odell, E.; Schlumprecht, Th. (1994), "The distortion problem",
Acta Mathematica
, 173: 259–281,
doi
:
10.1007/BF02398436
,
ISSN
0001-5962
,
MR
1301394
.
Schlumprecht, Th. (1991), "An arbitrary distortable Banach space",
Israel Journal of Mathematics
, 76: 81–95,
arXiv
:
math/9201225
,
doi
:
10.1007/bf02782845
,
ISSN
0021-2172
.