A unified Pietsch domination theorem
classification
🧮 math.FA
keywords
dominationpietschpietsch-typetheoremabsolutelyabstractalgebraicclasses
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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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