Troitsky, VGTÜRER, MEHMET SELÇUK2019-10-152019-10-152019-09https://hdl.handle.net/11413/5411We prove that Krivine's Function Calculus is compatible with integration. Let (Omega, Sigma, mu) be a finite measure space, X a Banach lattice, x epsilon X-n, and f : R-n x Omega -> R a function such that f(., w) is continuous and positively homogeneous for every w E 12, and f (s, ") is integrable for every s E R. Put F(s) = f f (s, w) d (w) and define F(x) and f (x, w) via Krivine's Function Calculus. We prove that under certain natural assumptions F(x) = f f (x, w) d (w), where the right hand side is a Bochner integral.en-USAttribution-NonCommercial-NoDerivs 3.0 United Stateshttp://creativecommons.org/licenses/by-nc-nd/3.0/us/Banach LatticeFunction CalculusBochner IntegralArticle4840487000184840487000182-s2.0-850719087562-s2.0-85071908756