Continuous Function Spaces

Pei-Kee Lin
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Pei-Kee Lin: University of Memphis, Department of Mathematics

Chapter Chapter 6 in Köthe-Bochner Function Spaces, 2004, pp 313-366 from Springer

Abstract: Abstract For any compact Hausdorff space K and any Banach space K , let C(K, X) be the space of all continuous X-valued functions on K with the norm $$ \left\| f \right\| = \mathop {\sup }\limits_{t \in K} \left\| {f(t)} \right\|_X . $$

Keywords: Banach Space; Vector Measure; Nonempty Closed Convex Subset; Compact Hausdorff Space; Strong Operator Topology (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-8188-3_6

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