A general differentiation theorem for superadditive processes
Tom 83 / 2000
Colloquium Mathematicum 83 (2000), 125-136
DOI: 10.4064/cm-83-1-125-136
Streszczenie
Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T={$T_t$: t < 0} be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.