2011•Glasgow Mathematical JournalOpen access

SCALAR BOUNDEDNESS OF VECTOR-VALUED FUNCTIONS

Muhammad Rameez Raja, José Rodríguez

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Abstract

Abstract We provide sufficient conditions for a Banach space-valued function to be scalarly bounded, which do not require to test on the whole dual space. Some applications in vector integration are also given.

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Abstract We provide sufficient conditions for a Banach space-valued function to be scalarly bounded, which do not require to test on the whole dual space. Some applications in vector integration are also given.

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Abstract We provide sufficient conditions for a Banach space-valued function to be scalarly bounded, which do not require to test on the whole dual space. Some applications in vector integration are also given.

Key concepts: Mathematics, Infinite-dimensional vector function, Vector-valued function, Scalar (mathematics), Bounded function, Dual space, Banach space, Pure mathematics

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