English

Coherence and compatibility: a stronger approach

Functional Analysis 2018-10-24 v2

Abstract

In this work we present a definition for coherence and compatibility of multilinear mappings and homogenous polynomial classes. These definitions are more restricted than the ones proposed before. We began analyzing this new definition in a technical sense, searching for what it has in common with other approaches. Then, we moved on to a more practical analysis. Through numerous examples of different classes of multilinear mappings and homogenous polynomials we checked the limits on these proposed definitions and propose there is a vast field in which they apply.

Cite

@article{arxiv.1805.02992,
  title  = {Coherence and compatibility: a stronger approach},
  author = {Joilson Ribeiro and Fabrício Santos and Ewerton Torres},
  journal= {arXiv preprint arXiv:1805.02992},
  year   = {2018}
}

Comments

20 pages

R2 v1 2026-06-23T01:48:21.035Z