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On strongly Pettis integrable functions in locally convex spaces.

N. D. ChakrabortySk. Jaker Ali — 1993

Revista Matemática de la Universidad Complutense de Madrid

Some characterizations have been given for the relative compactness of the range of the indefinite Pettis integral of a function on a complete finite measure space with values in a quasicomplete Hausdorff locally convex space. It has been shown that the indefinite Pettis integral has a relatively compact range if the functions is measurable by seminorm. Separation property has been defined for a scalarly measurable function and it has been proved that a function with this property is integrable...

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