Autor:	Westerbaan, Abraham A.
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	Measure and integral are two closely related, but distinct objects of study. Nonetheless, they are both real-valued lattice valuations: order preserving real-valued functions $\phi$ on a lattice $L$ which are modular, i.e., $\phi(x)+{\phi}(y) = \phi(x\wedge y)+{\phi}(x\vee y)$ for all $x,y \in L$. We unify measure and integral by developing a theory for lattice valuations. We allow these lattice valuations to take their values from the reals, or any suitable ordered Abelian group. Comment: Master's thesis
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.06044 Zobrazit plný text záznamu View this record from Arxiv