English

Approximable WAP- and LUC-interpolation sets

General Topology 2011-10-21 v1 Dynamical Systems Functional Analysis

Abstract

Extending and unifying concepts extensively used in the literature, we introduce the notion of approximable interpolation sets for algebras of functions on locally compact groups, especially for weakly almost periodic functions and for uniformly continuous functions. We characterize approximable interpolation sets both in combinatorial terms and in terms of the LUC\mathscr{LUC}- and WAP\mathscr{WAP}-compactifications and analyze some of their properties.

Keywords

Cite

@article{arxiv.1110.4483,
  title  = {Approximable WAP- and LUC-interpolation sets},
  author = {Jorge Galindo and Mahmoud Filali},
  journal= {arXiv preprint arXiv:1110.4483},
  year   = {2011}
}
R2 v1 2026-06-21T19:23:11.042Z