6533b7d7fe1ef96bd1268f60

RESEARCH PRODUCT

On the size of the set of unbounded multilinear operators between Banach spaces

Pilar RuedaVinícius V. FávaroDaniel Pellegrino

subject

Mathematics::Functional AnalysisNumerical AnalysisPure mathematicsMultilinear mapAlgebra and Number TheoryOpen problem010102 general mathematicsBanach space010103 numerical & computational mathematicsSpace (mathematics)01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional AnalysisSet (abstract data type)FOS: MathematicsDiscrete Mathematics and CombinatoricsGeometry and Topology0101 mathematicsMathematics

description

Among other results we investigate $\left( \alpha,\beta\right) $-lineability of the set of non-continuous $m$-linear operators defined between normed spaces as a subset of the space of all $m$-linear operators. We also give a partial answer to an open problem on the lineability of the set of non absolutely summing operators.

yearjournalcountryeditionlanguage
2020-02-16Linear Algebra and its Applications
https://doi.org/10.1016/j.laa.2020.07.029