Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones

@inproceedings{Ayaseh2017EgoroffTF,
  title={Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones},
  author={Davood Ayaseh and Asghar Ranjbari},
  year={2017}
}
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P,Q), where R is a σ-ring of subsets of X 6= ∅, (P,V) is a quasi-full locally convex cone and (Q,W) is a locally convex complete lattice cone. 

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