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arXiv · 0811.3518

A unified Pietsch domination theorem

Geraldo Botelho·Daniel Pellegrino·Pilar Rueda
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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.

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Geraldo Botelho, Daniel Pellegrino, Pilar Rueda. 2008-11-21. A unified Pietsch domination theorem. https://arxiv.org/abs/0811.3518

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