6533b870fe1ef96bd12cf18e
RESEARCH PRODUCT
Factorization of strongly (p,sigma)-continuous multilinear operators
Pilar RuedaElhadj DahiaDahmane AchourE. A. Sánchez Pérezsubject
Unbounded operatorDiscrete mathematicsMultilinear mapPrimary 46A32Algebra and Number TheoryMathematics::Commutative AlgebraTensor normSpectral theoremOperator theoryPietsch domination theoremMultilinear operatorsymbols.namesakeFactorizationNorm (mathematics)Weierstrass factorization theoremsymbolsSecondary 47B10FactorizationMATEMATICA APLICADAOperator normAbsolutely continuous operatorsMathematicsdescription
We introduce the new ideal of strongly-continuous linear operators in order to study the adjoints of the -absolutely continuous linear operators. Starting from this ideal we build a new multi-ideal by using the composition method. We prove the corresponding Pietsch domination theorem and we present a representation of this multi-ideal by a tensor norm. A factorization theorem characterizing the corresponding multi-ideal - which is also new for the linear case - is given. When applied to the case of the Cohen strongly -summing operators, this result gives also a new factorization theorem.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-10-16 |