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Compactness Properties of Positive Operators

  • Charalambos D. Aliprantis
  • Owen Burkinshaw

Abstract

A compact operator sends an arbitrary norm bounded sequence to a sequence with a norm convergent subsequence. For this reason, when operators are associated with integral equations, the compact operators are the most desirable. Besides being compact, an operator with some type of compactness is more useful than an arbitrary operator.

Keywords

Banach Space Compact Operator Positive Operator Continuous Operator Banach Lattice 
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 2006

Authors and Affiliations

  • Charalambos D. Aliprantis
    • 1
  • Owen Burkinshaw
    • 2
  1. 1.Purdue UniversityWest LafayetteU.S.A.
  2. 2.IUPUIIndianapolisU.S.A.

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