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

22 - Back to Bohr Radii

from Part 3 - Replacing Polydiscs by Other Balls


The Bohr radius for p-norms was introduced and studied in Chapter 19. There it was shown that unconditional basis constants of the monomials in spaces of m-homogeneous polynomials and Bohr radii are, in a certain sense, reciprocal to each other. In Chapter 21 the Gordon-Lewis cycle of ideas was developed to study these unconditional basis constants. Relating unconditional basis constants, Gordon-Lewis constants and projection constants of spaces of m-homogeneous polynomials gives a new proof of the lower bound for the Bohr radius for p-norms.