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manuscripta mathematica

, Volume 39, Issue 2–3, pp 219–231 | Cite as

A note on compactness in Banach spaces

  • Heinz Cremers
  • Dieter Kadelka
Article

Abstract

Two simple concepts are presented for constructing necessary and sufficient compactness criteria in Banach spaces. The concepts are applied to the spaces lipα(T), C(T), and Lp(µ), where T is a compact metric space.

Keywords

Banach Space Compactness Criterion Radon Measure Isometric Embedding Arbitrary Topological Space 
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-Verlag 1982

Authors and Affiliations

  • Heinz Cremers
    • 1
  • Dieter Kadelka
    • 1
  1. 1.Institut für Mathematische StatistikUniversität KarlsruheKarlsruheBRD

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