Remarks about Schlumprecht space

被引：21

作者：

Kutzarova, D

Lin, PK

机构：

[1] Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria

[2] Univ Memphis, Dept Math, Memphis, TN 38152 USA

[3] Univ Texas, Austin, TX 78712 USA

[4] Texas A&M Univ, Workshop Linear Anal & Probabil Theory, College Stn, TX 77843 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-99-05248-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S denote the Schlumprecht space. We prove that (1) l(infinity) is finitely disjointly representable in S; (2) S contains an l(1)-spreading model; (3) for any sequence (n(k)) of natural numbers, S is isomorphic to the space [GRAPHICS]

引用

页码：2059 / 2068

页数：10

共 16 条

[1] Modified mixed Tsirelson spaces
Argyros, SA
Deliyanni, I
Kutzarova, DN
Manoussakis, A
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 159 (01) : 43 - 109
[2] BEAUZAMY B, 1984, TRAVAUX COURS
[3] UN-COMPLEMENTED SUBSPACES OF LP, 1 LESS THAN P LESS THAN 2
BENNETT, G
DOR, LE
GOODMAN, V
JOHNSON, WB
NEWMAN, CM
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1977, 26 (02) : 178 - 187
[4] BOURGAIN J, 1981, COMPOS MATH, V43, P133
[5] Bourgain J., 1985, MEMOIRS AM MATH SOC, V322
[6] Casazza P.G., 1989, BANACH SPACE THEORY, V85, P61
[7] Uniqueness of unconditional bases in Banach spaces
Casazza, PG
Kalton, NJ
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1998, 103 (1) : 141 - 175
[8] Gowers W.T., 1993, J AM MATH SOC, V6, P851, DOI 10.1090/S0894-0347-1993-1201238-0
[9] A solution to the Schroeder-Bernstein problem for Banach spaces
Gowers, WT
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1996, 28 : 297 - 304
[10] A SOLUTION TO BANACHS HYPERPLANE PROBLEM
GOWERS, WT
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1994, 26 : 523 - 530

← 1 2 →