Abstract Integral and Differential Calculus
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.
KeywordsBanach Space Vector Function Measurable Space Directional Derivative Functional Calculus
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