Abstract
This short section is devoted to the integration of mappings which take values in a Banach space X. We will consider two types of domains of such mappings: either compact intervals or measurable spaces. For scalar functions the former case leads to the Riemann integral and the latter to the Lebesgue integral with respect to a measure.
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© 2007 Birkhäuser Verlag AG
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(2007). Abstract Integral and Differential Calculus. In: Methods of Nonlinear Analysis. Birkhäuser Advanced Texts / Basler Lehrbücher. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8147-9_3
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DOI: https://doi.org/10.1007/978-3-7643-8147-9_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8146-2
Online ISBN: 978-3-7643-8147-9
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