We prove that every modular measure on a pseudo-D-lattice L generates on L a lattice uniformity which makes uniformly continuous the pseudo-D-lattice operations. As an application, we obtain a uniqueness theorem for modular measures on pseudo D-lattices

Pseudo-D-lattices and topologies generated by measures

AVALLONE, Anna;VITOLO, Paolo
2012-01-01

Abstract

We prove that every modular measure on a pseudo-D-lattice L generates on L a lattice uniformity which makes uniformly continuous the pseudo-D-lattice operations. As an application, we obtain a uniqueness theorem for modular measures on pseudo D-lattices
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/17496
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