TY - JOUR
T1 - Quotient maps with structure preserving inverses
AU - Zippin, M.
PY - 1999
Y1 - 1999
N2 - It is proved that certain quotient maps q : (ℒn Un)l1 → Y, where Un are finite dimensional spaces, have the following property: If E is a subspace of Y with a “good” structure of uniformly complemented finite dimensional subspaces, so is the subspace q−1 (E) of (ℒn Un)l1. In particular, any quotient map q : l1 → L1 has this property.
AB - It is proved that certain quotient maps q : (ℒn Un)l1 → Y, where Un are finite dimensional spaces, have the following property: If E is a subspace of Y with a “good” structure of uniformly complemented finite dimensional subspaces, so is the subspace q−1 (E) of (ℒn Un)l1. In particular, any quotient map q : l1 → L1 has this property.
UR - http://www.scopus.com/inward/record.url?scp=0033236088&partnerID=8YFLogxK
U2 - 10.1216/rmjm/1181070422
DO - 10.1216/rmjm/1181070422
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AN - SCOPUS:0033236088
SN - 0035-7596
VL - 29
SP - 1537
EP - 1542
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 4
ER -