RT - Journal Article
T1 - Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones
JF - IJMSI
YR - 2017
JO - IJMSI
VO - 12
IS - 2
UR - http://ijmsi.ir/article-1-827-en.html
SP - 117
EP - 125
K1 - Locally convex cones
K1 - Egoroff Theorem
K1 - Operator valued measure.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-827-en.html
M3 10.7508/ijmsi.2017.2.008
ER -