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The Classical Theory of Real Functions

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

Abstract

The first class of real functions we deal with in this chapter is the class of functions of locally finite variation. These functions are closely related to the real measures on B. Exploiting this connection would allow us to obtain the properties of these functions from the general results in Chapter 4. But the path we follow here is a more direct one which applies the theory of vector lattices. The link with the measures on B will be established in the next section.

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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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