Almost f-algebras:: Structure and the Dedekind completion

被引:18
作者
Buskes, G [1 ]
van Rooij, A
机构
[1] Univ Mississippi, Dept Math, University, MS 38677 USA
[2] Univ Nijmegen, Inst Math, NL-6525 ED Nijmegen, Netherlands
关键词
D O I
10.1023/A:1009874426887
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a representation theorem for almost f-algebras, from which we infer the existence of almost f-algebra multiplications on the Dedekind completions of almost f-algebras.
引用
收藏
页码:233 / 243
页数:11
相关论文
共 14 条
[1]  
Aliprantis C. D., 1985, POSITIVE OPERATORS
[2]   THE ORDER BIDUAL OF ALMOST F-ALGEBRAS AND D-ALGEBRAS [J].
BERNAU, SJ ;
HUIJSMANS, CB .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (11) :4259-4275
[3]   ALMOST F-ALGEBRAS AND D-ALGEBRAS [J].
BERNAU, SJ ;
HUIJSMANS, CB .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 107 :287-308
[4]  
Bigard A., 1971, Lecture Notes in Mathematics, V608
[5]  
Birkhoff G., 1967, AM MATH SOC C PUBL, VXXV
[6]   FUNCTIONAL-CALCULUS ON RIESZ SPACES [J].
BUSKES, G ;
DEPAGTER, B ;
VANROOIJ, A .
INDAGATIONES MATHEMATICAE-NEW SERIES, 1991, 2 (04) :423-436
[7]   SMALL RIESZ SPACES [J].
BUSKES, G ;
VANROOIJ, A .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1989, 105 :523-536
[8]  
BUSKES G, 1995, NEPALI MATH SCI REPO, V16, P19
[9]  
BUSKES G, 1995, 9526 U NIJM DEP MATH
[10]  
DEPAGTER B, 1981, THESIS LEIDEN U