RANGE INCLUSION AND FACTORIZATION OF OPERATORS ON CLASSICAL BANACH-SPACES

被引：4
|
作者：
ANDREW, AD
PATTERSON, WM
机构：
[1] School of Mathematics, Georgia Institute of Technology, Atlanta
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 156卷 / 01期
关键词：
D O I：
10.1016/0022-247X(91)90380-I
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that if Z is one of the classical Banach spaces lp (1 < p < ∞, p ≠ 2), Lp 1 ≤ p < ∞, p ≠ 2), c0 or C(K) with K compact and metric, then there exist operators A, B on Z with Range A ⊆ Range B, yet A ≠ BC for any operator C on Z. © 1991.
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页码：40 / 43
页数：4
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