Representation Theorems

Carlos S. Kubrusly
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Carlos S. Kubrusly: Catholic University of Rio de Janeiro, Electrical Engineering Department

Chapter 12 in Essentials of Measure Theory, 2015, pp 223-246 from Springer

Abstract: Abstract Let $$\mathbb{F}$$ denote either the real field $$\mathbb{R}$$ or the complex field $$\mathbb{C}$$ . A scalar-valued function $$f: X\! \rightarrow \mathbb{F}$$ on a nonempty set X is called real-valued if $$\mathbb{F} = \mathbb{R}$$ , and complex-valued if $$\mathbb{F} = \mathbb{C}$$ .

Keywords: Topological Space; Linear Space; Borel Measure; Linear Functional; Compact Hausdorff Space (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-22506-7_12

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