×
Dence, Thomas P.

A Lebesgue decomposition for elements in a topological group. (English) Zbl 0453.28002

Int. J. Math. Math. Sci. 3, 801-808 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0453.28002

MSC:

28A10 Real- or complex-valued set functions
22A10 Analysis on general topological groups
28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
28B10 Group- or semigroup-valued set functions, measures and integrals

Keywords:

strongly-bounded elements in a normed Abelian group; algebra of projection operators; strongly-bounded additive functions; lattices of sets; Lebesgue decomposition; projection operator; strongly-bounded; topological group

Citations:

Zbl 0118.051
Cite Review PDF
Full Text: DOI EuDML