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Journal of the London Mathematical Society 1981 s2-24(1):165-174; doi:10.1112/jlms/s2-24.1.165
© 1981 by London Mathematical Society
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© Oxford University Press

On Trigonometric Series in Super Reflexive Spaces

J. Bourgain

Vrije Universiteit Brussel Pleinlaan 2, F7, B–1050, Brussels

Using a generalization of the R. C. James inequalities in super reflexive Banach spaces (see [3]), estimates are obtained for trigonometric series, which extend to classical Hausdorff-Young inequalities. A new characterization of super reflexivity is given.


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