Definitions and Basic Properties of Extended Riemann–Stieltjes Integrals

  • R. M. Dudley
  • R. Norvaiša
Part of the Springer Monographs in Mathematics book series (SMM)


Let X be a Banach space, and let J be a nonempty interval in R, which may be bounded or unbounded, and open or closed at either end. Recall that an interval is called nondegenerate if it has nonempty interior or equivalently contains more than one point.


Banach Space Interval Function Converse Implication Gauge Function Complex Banach 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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Institute of Mathematics and InformaticsVilniusLithuania

Personalised recommendations