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Real Measures

  • Corneliu Constantinescu
  • Wolfgang Filter
  • Karl Weber
  • Alexia Sontag
Part of the Mathematics and Its Applications book series (MAIA, volume 454)

Abstract

A simple example in Section 2.2 illustrated that the notions of nullcontinuity and σ-continuity are not identical (Example 2.2.6). We want to investigate the connection more thoroughly. Clarifying the connection between nullcontinuity and σ-continuity will also help illuminate, in the next section, the structure of the space of real measures on a ring of sets. We lay out a few preliminary results first.

Keywords

Positive Measure Vector Lattice Real Measure Finite Variation Disjoint Family 
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 1998

Authors and Affiliations

  • Corneliu Constantinescu
    • 1
  • Wolfgang Filter
    • 2
  • Karl Weber
    • 3
  • Alexia Sontag
    • 4
  1. 1.Department of MathematicsETH-ZürichZürichSwitzerland
  2. 2.Department of Mathematics, Faculty of EngineeringUniversità di PalermoPalermoItaly
  3. 3.Technikum WinterthurWinterthurSwitzerland
  4. 4.Department of MathematicsWellesley CollegeWellesleyUSA

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