APPROXIMATION THEOREMS FOR POSITIVE OPERATORS ON LP-SPACES

被引：2
|
作者：
GRZASLEWICZ, R
机构：
[1] Institute of Mathematics, Technical University of Wrocław, 50-370 Wrocław
来源：
JOURNAL OF APPROXIMATION THEORY | 1990年 / 63卷 / 02期
关键词：
D O I：
10.1016/0021-9045(90)90097-A
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let 1 < r ≤ p < ∞. Approximation theorems for positive contractions in L(Lp(m), Lr(n)) are presented. The characterization of norm attaining extreme positive contractions is given. Note that these extreme operators are also exposed points of the positive part of the unit ball of L(lp, lr). © 1990.
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页码：123 / 136
页数：14
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