English

The Burkill-Cesari integral as a semivalue on subspaces of AC

Functional Analysis 2012-07-09 v1

Abstract

We prove the simmetry of the Burkill-Cesari integral and discuss its continuity with respect to both the BV BV norm of Aumann and Shapley and to the Lipschitz norm. As a consequence, we provide an existence result of a value, different from the Aumann and Shapley's one, on a subspace of ACAC_\infty.

Keywords

Cite

@article{arxiv.1207.1645,
  title  = {The Burkill-Cesari integral as a semivalue on subspaces of AC},
  author = {Francesca Centrone and Anna Martellotti},
  journal= {arXiv preprint arXiv:1207.1645},
  year   = {2012}
}