Abstract Integral and Differential Calculus

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)


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.


Banach Space Vector Function Measurable Space Directional Derivative Functional Calculus 
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© Birkhäuser Verlag AG 2007

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