Title of article
Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones
Author/Authors
Ayaseha, Davood Department of Pure Mathematics - Faculty of Mathematical Sciences University of Tabriz , Ranjbari, Asghar Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Tabriz
Pages
9
From page
117
To page
125
Abstract
Abstract. 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 P-
valued functions and operator valued measure : R ! L(P,Q), where R
is a -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.
Keywords
Operator valued measure , Egoroff Theorem , Locally convex cones
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2424256
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