关于抽象Uryson算子的一些注释

International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI:10.12988/IJMA.2015.59233

N. Abasov, M. Pliev

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引用次数: 5

摘要

我们继续研究作用于向量格E和F之间的抽象Uryson算子U(E,F)的空间。我们引入了一类新的正交加性、不相交保持算子，称为Uryson格同态算子。我们考虑了这类算子的一些例子，并证明了Meyer类型定理。数学学科分类:小学47H30;二次47 h99下降

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Some remarks about abstract Uryson operators

We continue to investigation the space of abstract Uryson operators U(E,F ), acting between vector lattices E and F . We introduce a new class of orthogonally additive, disjointness preserving operators which called Uryson lattice homomorphisms. We consider some examples of this operators and prove the Meyer type theorem. Mathematics Subject Classification: Primary 47H30; Secondary 47H99

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International Journal of Mathematical Analysis

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