论文标题

局部固体矢量晶格之间的有界正态

Bounded orthomorphisms between locally solid vector lattices

论文作者

Sabbagh, Raheleh, Zabeti, Omid

论文摘要

本注释的主要目的是考虑局部固体矢量晶格之间的有界正常形态。我们建立了一个显着的Zannen定理的版本,涉及正常形态和基础向量晶格之间的等效性与所有有限的正常形态的情况。此外,我们还研究了这些类别的正编形性的拓扑结构和有序结构。

The main aim of the present note is to consider bounded orthomorphisms between locally solid vector lattices. We establish a version of the remarkable Zannen theorem regarding equivalence between orthomomorphisms and the underlying vector lattice to the case of all bounded orthomomorphisms. Furthermore, we investigate topological and ordered structures for these classes of orthomorphisms, as well.

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