6533b857fe1ef96bd12b428d

RESEARCH PRODUCT

Selected Topics on Banach Space Theory

Andreas DefantDomingo GarcíaPablo Sevilla-perisManuel Maestre

subject

Mathematics::Functional AnalysisPure mathematicsSequenceBasis (linear algebra)Uniform boundedness principleBanach spaceMathematics::General TopologyHahn–Banach theoremClosed graph theoremMathematicsSchauder basis

description

Basic topics on Banach space theory needed for the text are reviewed. Hahn-Banach theorem, Baire’s theorem, uniform boundedness principle, closed graph theorem, weak topologies, Banach-Alaoglu theorem, unconditional basis, Banach sequence spaces, summing operators, factorable operators, cotype, Kahane inequality.

https://doi.org/10.1017/9781108691611.017