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On Trigonometric Series in Super Reflexive Spaces
Author(s) -
Bourgain J.
Publication year - 1981
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-24.1.165
Subject(s) - trigonometric series , mathematics , reflexivity , generalization , series (stratigraphy) , trigonometry , pure mathematics , banach space , trigonometric functions , characterization (materials science) , inequality , algebra over a field , mathematical analysis , sociology , geometry , physics , geology , paleontology , optics , social science
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 Hausdor‐Young inequalities. A new characterization of super reflexivity is given.