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Contractivity theorems in real ordered Banach spaces with applications to relative operator bounds, ergodic projections and conditional expectations

Contractivity theorems in real ordered Banach spaces with applications to relative operator bounds, ergodic projections and conditional expectations

This paper provides various contractivity results for linear operators of the form I C where C are positive contractions on real ordered Banach spaces X: If A generates a positive semigroup in Lebesgue spaces L p (), we show (M. Pierre's result) that A(A) 1 is a contraction on the …