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RESEARCH PRODUCT
Type and Cotype in Vector-Valued Nakano Sequence Spaces
Oscar BlascoPablo Gregorisubject
CombinatoricsSequenceApplied MathematicsMathematical analysiscotypeBanach spaceType (model theory)typeConstant (mathematics)Analysisnakano sequence spaceReal numberMathematicsdescription
AbstractGiven a sequence of Banach spaces {Xn}n and a sequence of real numbers {pn}n in [1,∞), the vector-valued Nakano sequence spaces ℓ({pn},{Xn}) consist of elements {xn}n in ∏nXn for which there is a constant λ>0 such that ∑n(‖xn‖/λ)pn<∞. In this paper we find the conditions on the Banach spaces Xn and on the sequence {pn}n for the spaces ℓ({pn},{Xn}) to have cotype q or type p.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-12-01 | Journal of Mathematical Analysis and Applications |