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On Basis Constants and Duality in Banach Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
Every Banach space with a non-shrinking (unconditional) basis (Xi) can be renormed so that the biorthogonal sequence has a much smaller (unconditional) basis constant than (xi). On the other hand, if the unconditional constant of
is C < 2 then the unconditional constant of (xi) is at most C/(2—C). This estimate is sharp.
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- Copyright © Canadian Mathematical Society 1979