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Continuous Function Spaces

  • Pei-Kee Lin

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Pei-Kee Lin
    • 1
  1. 1.Department of MathematicsUniversity of MemphisMemphisUSA

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