English

Trivial Jensen measures without regularity

Functional Analysis 2014-12-30 v3

Abstract

In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point.

Keywords

Cite

@article{arxiv.math/9912160,
  title  = {Trivial Jensen measures without regularity},
  author = {J. F. Feinstein},
  journal= {arXiv preprint arXiv:math/9912160},
  year   = {2014}
}

Comments

6 pages plain tex