paper

A unified Pietsch domination theorem

arXiv:0811.3518

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.

10 pages

A unified Pietsch domination theorem · wovepaper