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Notes on Preregular Operators in Banach Lattices
Authors:CHEN Fang  CHEN Zi-li
Institution:School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
Abstract:Some characterizations of preregular operators between two Banach lattices are presented. Then several sufficient conditions for preregular operators being regular are given, and some related results are also obtained.
Keywords:Banach lattice  Property (P)  Dedekind complete  KB-space  Regular operator  Preregular operator
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