论文信息 - A compact regular operator without modulus - 字舞流文

A compact regular operator without modulus

We construct an operator with the properties mentioned in the title. Without the regularity assumption such an example was first discovered by U. Krengel.

A. Wickstead | Y. Abramovich

[1] A. Wickstead,et al. Regular operators from and into a small Riesz space , 1991 .

[2] A. Wickstead. Compact subsets of partially ordered Banach spaces , 1975 .

[3] H. H. Schaefer. Banach Lattices and Positive Operators , 1975 .

[4] U. Krengel. Über den Absolutbetrag stetiger linearer Operatoren und seine Anwendung auf ergodische Zerlegungen. , 1963 .

[5] A. Zaanen. Riesz Spaces, II , 1983 .

[6] Joram Lindenstrauss,et al. Classical Banach spaces , 1973 .

[7] B. Z. Vulikh,et al. Introduction to the Theory of Partially Ordered Spaces , 1967 .

[8] U. Krengel. Remark on the modulus of compact operators , 1966 .