EGOROFF THEOREM FOR OPERATOR-VALUED MEASURES IN LOCALLY CONVEX CONES

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Ayaseh Davood; Ranjbari Asghar

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2017 | Volume:12 | Issue:2 Page(s): 117-125

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Information Journal Paper

Title

EGOROFF THEOREM FOR OPERATOR-VALUED MEASURES IN LOCALLY CONVEX CONES

Author(s)

Ayaseh Davood | Ranjbari Asghar | Issue Writer Certificate

Keywords

LOCALLY CONVEX CONES

EGOROFF THEOREM

OPERATOR VALUED MEASURE

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 forP-valued functions and OPERATOR VALUED MEASURE q: Â®L (P, Q), where R is a s-ring of subsets of X¹q, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally convex complete lattice cone.

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APA: Copy

Ayaseh, Davood, & Ranjbari, Asghar. (2017). EGOROFF THEOREM FOR OPERATOR-VALUED MEASURES IN LOCALLY CONVEX CONES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 12(2), 117-125. SID. https://sid.ir/paper/310450/en

Vancouver: Copy

Ayaseh Davood, Ranjbari Asghar. EGOROFF THEOREM FOR OPERATOR-VALUED MEASURES IN LOCALLY CONVEX CONES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2017;12(2):117-125. Available from: https://sid.ir/paper/310450/en

IEEE: Copy

Davood Ayaseh, and Asghar Ranjbari, “EGOROFF THEOREM FOR OPERATOR-VALUED MEASURES IN LOCALLY CONVEX CONES,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 12, no. 2, pp. 117–125, 2017, [Online]. Available: https://sid.ir/paper/310450/en

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