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James constant for interpolation spaces
Authors:Anna Betiuk-Pilarska
Institution:a Institute of Mathematics, M. Curie-Sk?odowska University, 20-031 Lublin, Poland
b Department of Mathematics, Faculty of Science, Chiangmai University, Chiangmai, Thailand
Abstract:Estimates for the James constant for various norms in real interpolation spaces for finite families of Banach spaces are given. As a corollary it is shown that if a family contains at least one space which is uniformly nonsquare, then the interpolation space is uniformly nonsquare.
Keywords:Uniformly nonsquare Banach space  James constant  Interpolation space
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