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On lattices of set functions in complete bornological locally convex spaces. (English) Zbl 0815.46004

Summary: For complete bornological locally convex spaces \({\mathbf X}\), \({\mathbf Y}\), various natural lattices of set functions and families of sets related to an \(L({\mathbf X},{\mathbf Y})\)-valued measure are introduced. In connection with it, a Bartle-type integral is investigated.

MSC:

46A08 Barrelled spaces, bornological spaces
46G10 Vector-valued measures and integration
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