On positive strictly singular operators and domination

被引：0
作者：
Julio Flores
Francisco L. Hernández
机构：
[1] Universidad Rey Juan Carlos,Area de Física y Matemáticas Aplicadas. Escet
[2] Universidad Complutense,Departamento de Análisis Matemático. Facultad de Matemáticas
来源：
Positivity | 2003年 / 7卷
关键词：
Fourier Analysis; Operator Theory; Potential Theory; Positive Operator; Banach Lattice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the domination problem by positive strictly singular % operators between Banach lattices. Precisely we show that if E and %F are two Banach lattices such that the norms on E' and F are %order continuous and E satisfies the subsequence splitting property, %and %0≤S≤ T : E → F are two positive operators, then T strictly %singular implies S strictly singular. The special case of %endomorphisms is also considered. Applications to the class of %strictly co-singular (or Pelczynski) operators are given too.
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页码：73 / 80
页数：7
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