English

A procedure for constructing peak functions

Functional Analysis 2007-05-23 v2 Complex Variables

Abstract

We extend Bishop's one-fourth three-fourths principle for constructing peak functions belonging to a uniform algebra to a situation where the ``approximate barriers'' associated with the Bishop construction are not uniformly bounded.

Cite

@article{arxiv.math/0404039,
  title  = {A procedure for constructing peak functions},
  author = {Gautam Bharali},
  journal= {arXiv preprint arXiv:math/0404039},
  year   = {2007}
}

Comments

1) Condition (4) of Theorem 1.1 corrected, 2) Lemma 2.2 of the earlier version is redundant