Geodesic
On Basis Constants and Duality in Banach Spaces
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 459-465

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DOI

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.
DOI : 10.4153/CMB-1979-059-8
Mots-clés : 46B10, 46B15, Non-shrinking basis, biorthogonal functionals, basis constant, unconditional constant 
Dor, Leonard E. On Basis Constants and Duality in Banach Spaces. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 459-465. doi: 10.4153/CMB-1979-059-8
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     title = {On {Basis} {Constants} and {Duality} in {Banach} {Spaces}},
     journal = {Canadian mathematical bulletin},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-059-8/}
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