Asymptotically isometric copies of c0 and l1 in quotients of Banach spaces.

Chen Dongyang

Collectanea Mathematica (2004)

  • Volume: 55, Issue: 3, page 237-242
  • ISSN: 0010-0757

Abstract

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Let X be a real Banach space that does not contain a copy of l1. Then X* contains asymptotically isometric copies of l1 if and only if X has a quotient which is asymptotically isometric to c0.

How to cite

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Dongyang, Chen. "Asymptotically isometric copies of c0 and l1 in quotients of Banach spaces.." Collectanea Mathematica 55.3 (2004): 237-242. <http://eudml.org/doc/44340>.

@article{Dongyang2004,
abstract = {Let X be a real Banach space that does not contain a copy of l1. Then X* contains asymptotically isometric copies of l1 if and only if X has a quotient which is asymptotically isometric to c0.},
author = {Dongyang, Chen},
journal = {Collectanea Mathematica},
keywords = {Banach spaces; Isometry},
language = {eng},
number = {3},
pages = {237-242},
title = {Asymptotically isometric copies of c0 and l1 in quotients of Banach spaces.},
url = {http://eudml.org/doc/44340},
volume = {55},
year = {2004},
}

TY - JOUR
AU - Dongyang, Chen
TI - Asymptotically isometric copies of c0 and l1 in quotients of Banach spaces.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 3
SP - 237
EP - 242
AB - Let X be a real Banach space that does not contain a copy of l1. Then X* contains asymptotically isometric copies of l1 if and only if X has a quotient which is asymptotically isometric to c0.
LA - eng
KW - Banach spaces; Isometry
UR - http://eudml.org/doc/44340
ER -

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