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A unified Pietsch domination theorem

Pilar RuedaGeraldo BotelhoDaniel Pellegrino

subject

Discrete mathematicsMathematics::Functional AnalysisDomination analysisApplied MathematicsLinear operatorsBanach spacePietsch domination theoremFunctional Analysis (math.FA)Linear mapMathematics - Functional AnalysisBanach spacesFOS: MathematicsIdeal (order theory)Algebraic numberAbsolutely summing mappingsAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2008-11-21Journal of Mathematical Analysis and Applications
10.1016/j.jmaa.2009.10.025http://dx.doi.org/10.1016/j.jmaa.2009.10.025