Integral Representations for Continuous Linear Operators in the Setting of Convex Topological Vector Spaces

@inproceedings{WAYMENT2010IntegralRF,
  title={Integral Representations for Continuous Linear Operators in the Setting of Convex Topological Vector Spaces},
  author={S. G. WAYMENT},
  year={2010}
}
  • S. G. WAYMENT
  • Published 2010
Suppose X and Y are locally convex Hausdorff spaces, H is arbitrary and S is a ring of subsets of H. The authors prove the analog of the theorem stated in [Abstract 672-372, Notices Amer. Math. Soc. 17 (1970), 188] in this setting. A theory of extended integration on function spaces with Lebesgue and non-Lebesgue type convex topologies is then developed. As… CONTINUE READING