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  • Print publication year: 2019
  • Online publication date: July 2019

14 - Selected Topics on Banach Space Theory

from Part 2 - Advanced Toolbox


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.