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Birkhäuser - Birkhäuser Mathematics | The Bartle-Dunford-Schwartz Integral - Integration with Respect to a Sigma-Additive Vector Measure

The Bartle-Dunford-Schwartz Integral

Integration with Respect to a Sigma-Additive Vector Measure

Series: Monografie Matematyczne, Vol. 69

Panchapagesan, Thiruvaiyaru V.

2008, XV, 304 p.

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  • Treats in detail the vectorial Radon integration
  • Explores an interplay between, on the one side, linear operators, transferring real (complex) functions onto elements of locally convex Hausdorff spaces, and vector-valued measures, on the other

This volume is a thorough and comprehensive treatise on vector measures. The functions to be integrated can be either [0,infinity]- or real- or complex-valued and the vector measure can take its values in arbitrary locally convex Hausdorff spaces. Moreover, the domain of the vector measure does not have to be a sigma-algebra: it can also be a delta-ring.

The book contains not only a large amount of new material but also corrects various errors in well-known results available in the literature. It will appeal to a wide audience of mathematical analysts.

Content Level » Research

Keywords » Hausdorff space - integration theory - measure - measure theory - vector measure

Related subjects » Birkhäuser Mathematics

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