An integral for a banach valued function

Giuseppa Riccobono

doi:10.2478/v10127-009-0051-4

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An integral for a banach valued function

Tatra Mountains Mathematical Publications

Volume 44 (2009): Issue 1 (December 2009)

By: Giuseppa Riccobono

Open Access

|Nov 2012

Abstract

Using partitions of the unity ((PU)-partition), a new definition of an integral is given for a function f : [a, b] →

X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral.

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