1999 ◽  
Vol 22 (1) ◽  
pp. 83-97 ◽  
Author(s):  
Yoshihisa UCHIDA
Keyword(s):  

1980 ◽  
Vol 3 (4) ◽  
pp. 801-808
Author(s):  
Thomas P. Dence

Our aim is to establish the Lebesgue decomposition for strongly-bounded elements in a topological group. In 1963 Richard Darst established a result giving the Lebesgue decomposition of strongly-bounded elements in a normed Abelian group with respect to an algebra of projection operators. Consequently, one can establish the decomposition of strongly-bounded additive functions defined on an algebra of sets. Analagous results follow for lattices of sets. Generalizing some of the techniques yield decompositions for elements in a topological group.


2001 ◽  
Vol 100 (2) ◽  
pp. 117-133 ◽  
Author(s):  
Abigail Hoit
Keyword(s):  

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