English

A unified Pietsch domination theorem

Functional Analysis 2008-11-24 v1

Abstract

In this paper we prove an abstract version of Pietsch's domination theorem which unify a number of known Pietsch-type domination theorems for classes of mappings that generalize the ideal of absolutely p-summing linear operators. A final result shows that Pietsch-type dominations are totally free from algebraic conditions, such as linearity, multilinearity, etc.

Keywords

Cite

@article{arxiv.0811.3518,
  title  = {A unified Pietsch domination theorem},
  author = {Geraldo Botelho and Daniel Pellegrino and Pilar Rueda},
  journal= {arXiv preprint arXiv:0811.3518},
  year   = {2008}
}

Comments

10 pages

R2 v1 2026-06-21T11:44:00.369Z