Title of article :
Openness of measures and closedness of their range
Author/Authors :
Avallone، نويسنده , , Anna and Barbieri، نويسنده , , Giuseppina and Vitolo، نويسنده , , Paolo and Weber، نويسنده , , Hans، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2013
Abstract :
We prove that every R N -valued σ -order continuous modular measure μ , defined on a σ -complete D-lattice L , has a closed range, and is open if L is μ -chained.
Keywords :
closed range , open map , measure , D-lattice
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications