Using partitions of the unity ((PU)-partition),a new definition of an integral is given for a function f from [a,b] to X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral
Riccobono, G. (2009). An integral for a Banach valued function. TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, 44, 105-113.
An integral for a Banach valued function
RICCOBONO, Giuseppa
2009-01-01
Abstract
Using partitions of the unity ((PU)-partition),a new definition of an integral is given for a function f from [a,b] to X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral
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