6533b860fe1ef96bd12c2fcf

RESEARCH PRODUCT

Dominated polynomials on infinite dimensional spaces

Pilar RuedaGeraldo BotelhoDaniel Pellegrino

subject

Pure mathematicsConjectureApplied MathematicsGeneral Mathematics46B15; 46G25Eberlein–Šmulian theoremMathematical analysisBanach spaceBanach manifoldFunctional Analysis (math.FA)Mathematics - Functional AnalysisFOS: Mathematics46G2546B15Mathematics

description

The aim of this paper is to prove a stronger version of a conjecture on the existence of non-dominated scalar-valued m-homogeneous polynomials (m>=3) on arbitrary infinite dimensional Banach spaces.

https://dx.doi.org/10.48550/arxiv.0809.4496