A unified Pietsch domination theorem

Details A unified Pietsch domination theorem A unified Pietsch domination theorem

2008-11-21

arxiv.org/abs/0811.3518v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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.

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