English

Decomposition of an abstract Uryson operator

Functional Analysis 2013-09-25 v1

Abstract

We consider the space of abstract Uryson operators firstly introduced in [9]. We obtain the formulas for band projections on the band generated by increasing set of a positive Uryson operators and on the band generated one-dimensional abstract Uryson operators. We also calculate the laterally continuous part of a abstract Uryson operator.

Keywords

Cite

@article{arxiv.1309.6085,
  title  = {Decomposition of an abstract Uryson operator},
  author = {M. A. Ben Amor and M. Pliev},
  journal= {arXiv preprint arXiv:1309.6085},
  year   = {2013}
}
R2 v1 2026-06-22T01:32:51.210Z