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Introduction

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

Abstract

The integral defined in this book extends the integral of the usual abstract theory. Every function integrable according to the old definition is still integrable according to the new definition, and has the same integral, but there are more integrable functions. All important properties of the integral remain intact, and some new ones even appear.

Keywords

Integration Theory Vector Lattice Banach Lattice Lebesgue Dominate Convergence Theorem Complete Vector 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 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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