# 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.

#### References

##### Publications referenced by this paper.

SHOWING 1-7 OF 7 REFERENCES

## Operator-Valued Measures and Integrals for Cone-Valued Functions

VIEW 7 EXCERPTS

HIGHLY INFLUENTIAL

## W

VIEW 1 EXCERPT