TY - JOUR
T1 - Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones
TT -
JF - IJMSI
JO - IJMSI
VL - 12
IS - 2
UR - http://ijmsi.ir/article-1-827-en.html
Y1 - 2017
SP - 117
EP - 125
KW - Locally convex cones
KW - Egoroff Theorem
KW - Operator valued measure.
N2 - 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≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally convex complete lattice cone.
M3 10.7508/ijmsi.2017.2.008
ER -