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:: Volume 12, Number 2 (9-2017) ::
IJMSI 2017, 12(2): 117-125 Back to browse issues page
Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones
D. Ayaseh , A. Ranjbari

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.

Keywords: Locally convex cones, Egoroff Theorem, Operator valued measure.
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Type of Study: Research | Subject: Special
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DOI: 10.7508/ijmsi.2017.2.008

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Ayaseh D, Ranjbari A. Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones. IJMSI. 2017; 12 (2) :117-125
URL: http://ijmsi.ir/article-1-827-en.html
Volume 12, Number 2 (9-2017) Back to browse issues page
نشریه علوم ریاضی و انفورماتیک Iranian Journal of Mathematical Sciences and Informatics
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