Let L be a pseudo-D-lattice. We study the algebraic structures of D-uniformities on L and, as an application, we prove decomposition theorems as Lebesgue and Hewitt-Yosida and control theorems as Bartle-Dunford-Schwartz and Rybakov for modular measures on L.

Lebesgue decomposition and Bartle-Dunford-Schwartz theorem in pseudo-D-lattices

AVALLONE, Anna;VITOLO, Paolo
2013-01-01

Abstract

Let L be a pseudo-D-lattice. We study the algebraic structures of D-uniformities on L and, as an application, we prove decomposition theorems as Lebesgue and Hewitt-Yosida and control theorems as Bartle-Dunford-Schwartz and Rybakov for modular measures on L.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/35755
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